the lcm of 4 1/2,3 and 10 1/2
Answers
Answer:
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Step-by-step explanation:
LCM of 4 1/2, 3, 10 1/2 = 63
4 1/2 * 14 = 63
3 * 21 = 63
10 1/2 * 6 = 63
The LCM is 63.
Given: The numbers 4 1/2, 3, and 10 1/2.
To Find: The LCM of the numbers 4 1/2, 3, and 10 1/2.
Solution:
- We know that the LCM of fractions can be found by the formula,
LCM = LCM of numerators / HCF of denominators ...(1)
Coming to the question, the given numbers are 9/2, 3, and 21/2.
So, from (1), we need to find the LCM of 9, 3, 21
and the HCF of 2, 1, 2.
So writing the prime factorization, we get;
9 = 3 × 3 × 3
3 = 3 × 1
21 = 3 ×7
So, the LCM = 3 × 3 × 7 = 63
HCF = 1
So, putting respective values in (1), we get;
LCM = LCM of numerators / HCF of denominators
⇒ LCM = 63 / 1
= 63
Hence, the LCM is 63.
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