Question

LCM by division method of 35,63​

Answer 1

Answer:

Find the prime factorization of 35

35 = 5 × 7

Find the prime factorization of 63

63 = 3 × 3 × 7

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 3 × 3 × 5 × 7

LCM = 315

Explanation:

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Answer 2

The lcm of 35 and 63 can be obtained like this:

• The multiples of 35 are … , 280, 315, 350, ….
• The multiples of 63 are …, 252, 315, 378, …
• The common multiples of 35 and 63 are n x 315, intersecting the two sets above, n\neq 0 \thinspace\in\thinspace\mathbb{Z}n =0∈Z.
• In the intersection multiples of 35 ∩ multiples of 63 the least positive element is 315.
• Therefore, the least common multiple of 35 and 63 is 315.