Question

H.C.F. & L.C.M. of 408 , 1530
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Answer 1

lcm (408; 1,530) = 6,120: least common multiple, calculated. The numbers have common prime factors.

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Answer 2

Step-by-step explanation:

lcm (408; 1,530) = 6,120: least common multiple, calculated. The numbers have common prime factors.

. Decompose all numbers into prime factors

. Write all numbers as the product of its prime factors

Prime factors of 408 = 23 . 3 . 17

Prime factors of 1530 = 2 . 32 . 5 . 17

3. Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 2 , 3 , 17

Common prime factors with the greatest exponent: 23, 32, 171

Uncommon prime factors: 5

Uncommon prime factors with the greatest exponent: 51

4. Calculate the Least Common Multiple or LCM

Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.

LCM = 23. 32. 171. 51 = 6120