LCM for 250 and 1,000

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What's the Least Common Multiple (LCM) of 250 and 1,000?

Answer

LCM of 250 and 1,000 is
1,000

First common multiples: 1,000; 2,000; 3,000; …

As a common denominator: multiply the top and bottom of x/250 by 4.

250 divides 1,000 (1,000 ÷ 250 = 4), so the LCM is the larger number itself.

250 = 2 × 53

1,000 = 23 × 53

Prime2501,000Highest power
222323
5535353

LCM = 23 × 53 = 1,000

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
25098549,250
250986123,250
250987246,750
250988123,500
250989247,250
25099024,750
250991247,750
250992124,000
250993248,250
250994124,250
25099549,750
250996124,500
250997249,250
250998124,750
250999249,750
2501,0001,000
2501,001250,250
2501,002125,250
2501,003250,750
2501,004125,500
2501,00550,250
2501,006125,750
2501,007251,750
2501,008126,000
2501,009252,250
2501,01025,250
2501,011252,750
2501,012126,500
2501,013253,250
2501,014126,750

FAQ

What's the Least Common Multiple (LCM) of 250 and 1,000?

LCM of 250 and 1,000 is 1,000

How to find the LCM of 250 and 1,000 using prime factorization?

To find the LCM of 250 and 1,000, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,000.

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 250 and 1,000: LCM = 1,000, GCF = 250.

See Also