Question

Page.
Date. .
10. Find the LCM by division methool
а)
)
29 ч.
(2444
А.​

Answer 1

Answer:

2444 = 2^2×13×47 (4 prime factors, 3 distinct)

294 = 2×3×7^2 (4 prime factors, 3 distinct)

Step-by-step explanation:

Find the least common multiple:

lcm(294, 2444)

Find the prime factorization of each integer:

The prime factorization of 294 is:

294 = 2×3×7^2

The prime factorization of 2444 is:

2444 = 2^2×13×47

Find the largest power of each prime factor

The largest power of 2 that appears in the prime factorizations is 2^2

The largest power of 3 that appears in the prime factorizations is 3^1

The largest power of 7 that appears in the prime factorizations is 7^2

The largest power of 13 that appears in the prime factorizations is 13^1

The largest power of 47 that appears in the prime factorizations is 47^1

Therefore lcm(294, 2444) = (2^2×3^1×7^2×13^1×47^1 = 359268):

Answer: |

| lcm(294, 2444) = 359268

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