LCM for 150 and 275

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What's the Least Common Multiple (LCM) of 150 and 275?

Answer

LCM of 150 and 275 is
1,650

First common multiples: 1,650; 3,300; 4,950; …

1,650 is divisible by both: 1,650 ÷ 150 = 11; 1,650 ÷ 275 = 6 — and 11 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/150 by 11 and of y/275 by 6.

150 = 2 × 3 × 52

275 = 52 × 11

Prime150275Highest power
22—2
33—3
5525252
11—1111

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

LCM = 2 × 3 × 52 × 11 = 1,650

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
1502603,900
15026113,050
15026219,650
15026339,450
1502646,600
1502657,950
15026619,950
15026713,350
15026820,100
15026940,350
1502701,350
15027140,650
15027220,400
15027313,650
15027420,550
1502751,650
1502766,900
15027741,550
15027820,850
15027913,950
1502804,200
15028142,150
1502827,050
15028342,450
15028421,300
1502852,850
15028621,450
15028743,050
1502887,200
15028943,350

FAQ

What's the Least Common Multiple (LCM) of 150 and 275?

LCM of 150 and 275 is 1,650

How to find the LCM of 150 and 275 using prime factorization?

To find the LCM of 150 and 275, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,650.

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 150 and 275: LCM = 1,650, GCF = 25.

See Also