The LCM is 250.
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The LCM is: 250
150 the right answer is 250
1000 is the LCM of those numbers
50 should work: 50 = 5 * 10 and 50 = 2* 25.
If that's 5/6 and 10/50, the least common denominator is 150. But since 10/50 = 1/5, the least common denominator is 30.