Find the Lowest Common Multiple (LCM) of 24 and 20. 24 32 120 98
Question
Find the Lowest Common Multiple (LCM) of 24 and 20. 24 32 120 98
Solution
Sure, let's find the Lowest Common Multiple (LCM) of 24 and 20.
Step 1: First, we need to find the prime factors of both numbers.
Prime factors of 24 are: 2, 2, 2, 3 Prime factors of 20 are: 2, 2, 5
Step 2: Now, we need to multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, we multiply the factor the greatest number of times it occurs.
2 occurs three times in 24 and twice in 20, so we take it three times. 3 occurs once in 24 and not in 20, so we take it once. 5 occurs once in 20 and not in 24, so we take it once.
Step 3: Multiply these all together to get the LCM.
So, LCM of 24 and 20 = 22235 = 120
Therefore, the Lowest Common Multiple (LCM) of 24 and 20 is 120.
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