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LCM for 40 and 250

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 40 and 250?

Answer

LCM of 40 and 250 is 1,000

(Thousand)

Finding LCM for 40 and 250 using GCF of these numbers

The first method to find LCM for numbers 40 and 250 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 40 and 250 is 10, so

LCM = (40 × 250) ÷ 10

LCM = 10000 ÷ 10

LCM = 1000

Finding LCM for 40 and 250 by Listing Multiples

The second method to find LCM for numbers 40 and 250 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920, 960, 1000, 1040, 1080

Multiples of 250: 250, 500, 750, 1000, 1250, 1500

So the LCM for 40 and 250 is 1000

Finding LCM for 40 and 250 by Prime Factorization

Another method to find LCM for numbers 40 and 250 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 23, 51)

All Prime Factors of 250: 2, 5, 5, 5 (exponent form: 21, 53)

23 × 53 = 1000

Related Calculations

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What is the LCM of 40 and 250?. Find the LCM of 40 and 250 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
25250250
262503250
272506750
282503500
292507250
30250750
312507750
322504000
332508250
342504250
352501750
362504500
372509250
382504750
392509750
402501000
4125010250
422505250
4325010750
442505500
452502250
462505750
4725011750
482506000
4925012250
50250250
5125012750
522506500
5325013250
542506750

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 40 and 250? (The answer is: 1000). Select the first number (e.g. '40') and the second number (e.g. '250'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 40 and 250?

LCM of 40 and 250 is 1,000

How to find the LCM of 40 and 250 using prime factorization?

To find the LCM of 40 and 250, 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 40 and 250: LCM = 1,000, GCF = 10.

See Also