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Factor both numbers into prime numbers.

Take each Prime number the MOST it was used in any one number.

50=2x5x5

70=2x5x7

2x5x5x7=350

Another way is to write all the multiples of each one and choose

50,100,150,200,250,300,350

70,140,210,280,350

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Q: What is the lowest common multiple of 50 and 70?
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