Question

Lcm of 30240 and 29700 using prime factorisation method

Answer 1

30240=2,2,2,2,2,5,13

Answer 2

LCM of 30240 and 29700 using prime factorisation method is 1663200.

Step-by-step explanation:

Given : Numbers  30240 and 29700.

To find : LCM of numbers using prime factorization method ?

Solution :

Factors the number,

$30240=2\times 2 \times2\times2\times 2\times3\times 3\times3\times 5\times7$

$29700=2\times 2 \times3\times3\times 3\times5\times 5\times11$

LCM is the least common multiple,

$LCM(30240,29700)=2\times 2\times 2\times2\times 2\times3\times3\times 3\times5\times 5\times 7\times11$

$LCM(30240,29700)=1663200$

Therefore, LCM of 30240 and 29700 using prime factorisation method is 1663200.

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