LCM for 8 and 120

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What's the Least Common Multiple (LCM) of 8 and 120?

Answer

LCM of 8 and 120 is
120

First common multiples: 120, 240, 360, …

As a common denominator: multiply the top and bottom of x/8 by 15.

8 divides 120 (120 ÷ 8 = 15), so the LCM is the larger number itself.

8 = 23

120 = 23 × 3 × 5

Prime8120Highest power
2232323
3—33
5—55

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 23 × 3 × 5 = 120

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
827216
82856
830120
83232
833264
835280
83672
84040
841328
843344
84488
845360
846184
84848
849392
851408
852104
855440
857456
858232
860120
863504
86464
87272
88080
890360
89696
8100200
8120120
81,0001,000

FAQ

What's the Least Common Multiple (LCM) of 8 and 120?

LCM of 8 and 120 is 120

How to find the LCM of 8 and 120 using prime factorization?

To find the LCM of 8 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 120.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 8 and 120: LCM = 120, GCF = 8.

See Also