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lbvjy [14]
4 years ago
9

Describe how to find the least common multiple of three numbers

Mathematics
1 answer:
notka56 [123]4 years ago
3 0
Find all the prime factors of the three numbers. pick up the common factors, ONCE, then pick up the non-common factors one by one, multiply the factors, the product is the least common factor.
example: the least common multiple of 6, 8, and 15
6=2*3
8=2*2*2
15=3*5
Note: do not write 8 into 4*2, because 4 is not a prime number. you have to break the number down to prime factors only. 
Notice that 6 and 8 have a common factor 2, so pick up the 2;
 6 and 15 have a common factor of 3, so pick up the 3.
those are the only two shared factors, so 2×3
now pick up whatever is not shared:
the two 2s for 8 and the 5 for 15 is not shared, add 2, 2, and 5 to the multiplication: 2×3×2×2×5=120
120 is the least common multiples of 6,8, and 15

this is basically how it is done. I believe you can explain better in your own words. 

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Step-by-step explanation:

<u>Given</u>

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<u>Simplify</u>

  • \frac{5}{3}b*x^{1+c}z^{a+2}y^d = 15x^7z^{10}y^0

Compare left and right sides and

<u>Find b:</u>

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<u>Find c:</u>

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<u>Find a:</u>

  • a + 2 = 10 ⇒ a = 10 - 2 = 8

<u>Find d:</u>

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<u>Solution is:</u>

  • \frac{5}{3}xz^8*9x^6y^0z^2 = 15x^7z^{10}
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Step-by-step explanation:

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