To find the Least Common Multiple (LCM) of two numbers, we can list their multiples and identify the smallest number that appears in both lists. Let’s solve each problem step by step.
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Problem 1: LCM of 50 and 75
Multiples of 50:
50, 100, 150, 200, 250, ...
Multiples of 75:
75, 150, 225, 300, ...
The first common multiple is
150.
So, LCM(50, 75) =
150
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Problem 2: LCM of 40 and 60
Multiples of 40:
40, 80, 120, 160, 200, ...
Multiples of 60:
60, 120, 180, 240, ...
The first common multiple is
120.
So, LCM(40, 60) =
120
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Problem 3: LCM of 24 and 36
Multiples of 24:
24, 48, 72, 96, 120, ...
Multiples of 36:
36, 72, 108, 144, ...
The first common multiple is
72.
So, LCM(24, 36) =
72
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Problem 4: LCM of 24 and 56
Multiples of 24:
24, 48, 72, 96, 120, 144, 168, 192, ...
Multiples of 56:
56, 112, 168, 224, ...
The first common multiple is
168.
So, LCM(24, 56) =
168
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Final Answer:
1) 150
2) 120
3) 72
4) 168
Parent Tip: Review the logic above to help your child master the concept of lowest common multiple worksheet.
