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Novay_Z [31]
3 years ago
13

Find the LCM of 315,420,525 using prime factorisation method with slove it​

Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
5 0

\boxed{\sf \:\begin{cases}\\\begin{gathered} {\underline{{ \sf {\blue{\Large\bf \underbrace{ {\rm {\purple{\begin{array}{r | l}\large\rm{\red{ 5}}&\underline{315,420,525}\\\large\rm{\red{ 3}}&  \underline{63,84,105}\\\large\rm{\red{3}}&\underline{21,28,35}\\\large\rm{\red{ 7}}&\underline{7,28,35}\\\large\rm{\red{2}}&\underline{1,4,5}\\\large\rm{\red{2}}&\underline{1,2,5}\\\large\rm{\red{5}}&\underline{1,1,5}\\&1,1,1\end{array}}}}} }}}}}\end{gathered}\\\end{cases}}

LCM = 5 × 3 × 3 × 7 × 2 × 2 × 5

LCM = 6300

<u>Hence, the LCM of 315 , 420 , 525 is 6300</u>

Alona [7]3 years ago
4 0

Answer:

  • 6300

Step-by-step explanation:

<u>Prime factors of given numbers:</u>

  • 315 = 3*3*5*7
  • 420 = 2*2*3*5*7
  • 525 = 3*5*5*7

<u>The LCM is:</u>

  • LCM(315, 420, 525) = 2*2*3*3*5*5*7 = 6300
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