1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rainbow [258]
3 years ago
5

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = Product of the two numbers.

Mathematics
1 answer:
Naddik [55]3 years ago
5 0
Sol. (1) Prime factors of 26 = 2 x 13
Prime factors of 91 = 7 x 13
Hence, HCF = Common factors between 26 and 91 =13 and LCM=13x2x7=182

Now product of numbers 26 and 91
= 26 x 91 = 2366 and Product of HCF and LCM = 13 x 182 = 2366

So, it verify that product of two numbers = Product of HCF and LCM.

(2) Prime factors of 510 = 2 x 3 x 5 x 17
Prime factors of 92 = 2 x 2 x 23
Hence,HCF=2 and LCM=2×2×3 × 5×17×23 =23460

Now product of Numbers 510 and 92 = 46920 and product of HCF and LCM = 2 x 23460= 46920

Hence, verified that product of two numbers 18 equal to product of their HCF and LCM.

(3) Prime factors of336 = 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 54 = 2 x 3 x 3 x 3
Hence, HCF (Product of common factors of 336 and 54)
=2 x 3=6

And LCM (Product of all common factors with remaining factors)
=(2 x 3)x 2 x 2 x 2 x 3 x 3 x 7=3024

Now, product of numbers 336 and 54 = 336 x 54 = 18144
and product of HCF and LCM = 6 x 3024 = 18144
Hence, product of two numbers: Product of HCF and LCM.
You might be interested in
PLEASE HELP been stuck on this for a while
marysya [2.9K]

Answer:

I believe it's D but I'm not 100 percent sure. I hope this helped I'm sorry I couldn't help more <3

4 0
2 years ago
WILL GIVE BRAINLIEST
padilas [110]
Okay so first do 2x3 which equals 6. then add 6 to 1 and you would get 7. so 7/2 is your answer!!

denominator- bottom half of a fraction ex. in the fraction 5/7 the bottom number (7) is the denominator

numerator- top half of a fraction ex. in 5/7 the top (5) is the numerator

whole number-a number without fractions ex. 7, 29, 18
8 0
2 years ago
Read 2 more answers
if my grade is 69% what will my grade be if i got a 3.3 of 4 on a essay and it's worth 25% of my grade?​
juin [17]

Answer:

72.4%

Step-by-step explanation:

The essay is 25% of your grade, and the rest is 75% of your grade.

25 (3.3/4) + 75 (0.69) ≈ 72.4

6 0
3 years ago
Well buying organic is expensive because the product is much much harder to grow. No pesticides or fertilizer means there's a ve
kolezko [41]
That is true. It is much cheaper and economically safer for farms to not grow organic foods. I’m fact, sometimes it is even better for the environment for food to not be grown organically as it puts less stress on the farmland.
6 0
3 years ago
Estimates 3 2/3 \ 3 2/9
IrinaK [193]
Hello  
<span>3 2/3 \ 3 2/9
(32/3) × (9/32) = 9/3=3</span>
6 0
3 years ago
Other questions:
  • Is the relation a function?
    8·2 answers
  • Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), o
    13·2 answers
  • How do you model a decimal using a fraction 5th grade​
    10·1 answer
  • Solve the following equation for n: <br><br>8 + n = 16.<br><br>​
    15·2 answers
  • Θ এর কোন মানের জন্য sin2θ+cos2θ= 1 হয় ?​
    9·1 answer
  • 13 in. 30 in. 13 in. 9 in. find the volume​
    6·2 answers
  • West ridge highschool is holding an honor roll banquet. It costs $95 to rent the cafeteria plus $13 for each person attending th
    5·1 answer
  • According to exponent rules, when we multiply powers we______
    7·1 answer
  • Hi I need help. I will also tell you this so you don't end up doing it. So the question about Toby is not a problem for you to d
    5·1 answer
  • I need to answer 25 questions pls help ill give brainliest
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!