LCM for 150 and 250

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What's the Least Common Multiple (LCM) of 150 and 250?

Answer

LCM of 150 and 250 is
750

First common multiples: 750; 1,500; 2,250; …

750 is divisible by both: 750 ÷ 150 = 5, 750 ÷ 250 = 3 — and 5 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/150 by 5 and of y/250 by 3.

150 = 2 × 3 × 52

250 = 2 × 53

Prime150250Highest power
2222
33—3
5525353

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

LCM = 2 × 3 × 53 = 750

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
1502357,050
15023617,700
15023711,850
15023817,850
15023935,850
1502401,200
15024136,150
15024218,150
15024312,150
15024418,300
1502457,350
1502466,150
15024737,050
15024818,600
15024912,450
150250750
15025137,650
1502526,300
15025337,950
15025419,050
1502552,550
15025619,200
15025738,550
1502586,450
15025938,850
1502603,900
15026113,050
15026219,650
15026339,450
1502646,600

FAQ

What's the Least Common Multiple (LCM) of 150 and 250?

LCM of 150 and 250 is 750

How to find the LCM of 150 and 250 using prime factorization?

To find the LCM of 150 and 250, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 750.

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 250: LCM = 750, GCF = 50.

See Also