The number that 5, 8, and 12 can all go into is 120. This is because 120 is the smallest common multiple of 5, 8, and 12. To find the least common multiple, you can use the prime factorization method or the method of listing multiples of each number until you find the smallest number they all have in common.
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The best way to find the least common multiple of 3 numbers is to find it of the biggest two, then find the LCM of that answer with the third number.
LCM(a,b) = (ab)/GCF(a,b)
12 factors to [2 2 3]
8 factors to [2 2 2]
common factors are [2 2] = 4
12 * 8 / 4 = 24
Since 5 is prime and not a factor of 24, the GCF(5,24)=1 ("relatively prime")
LCM = 24 * 5 / 1 = 120■
2 8/2 = 4 10/2 = 5 12/2 = 6
101/8 = 12 and 5/12.
12 with 5 remaining 101 - 5 = 96 = 8 x 12
101 ÷ 8 = 12 with remainder 5 or 12.625 times.12, remainder 5
8 x 12 = 96 106 - 96 = 10 10/12 = 5/6 therefore 8 5/6