Question

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

Answer 1

`\boxed{\sf \:\begin{cases}\\\begin{gathered} {\underline{{ \sf {\blue{\Large\bf \underbrace{ {\rm {\purple{\begin{array}r \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

Hence, the LCM of 315 , 420 , 525 is 6300

Answer 2

• 6300

Explanation:

Prime factors of given numbers:

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

The LCM is:

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