LCM for 200 and 240

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 200 and 240?

Answer: LCM of 200 and 240 is 1,200

(One thousand, two hundred)

Finding LCM for 200 and 240 using GCF's of these numbers

The first method to find LCM for numbers 200 and 240 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 200 and 240 is 40, so

LCM = (200 × 240) ÷ 40

LCM = 48000 ÷ 40

LCM = 1200

Finding LCM for 200 and 240 by Listing Multiples

The second method to find LCM for numbers 200 and 240 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 200: 200, 400, 600, 800, 1000, 1200, 1400, 1600

Multiples of 240: 240, 480, 720, 960, 1200, 1440, 1680

So the LCM for 200 and 240 is 1200

Finding LCM for 200 and 240 by Prime Factorization

Another method to find LCM for numbers 200 and 240 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 200: 2, 2, 2, 5, 5 (exponent form: 23, 52)

All Prime Factors of 240: 2, 2, 2, 2, 3, 5 (exponent form: 24, 31, 51)

24 × 52 × 31 = 1200

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LCM Table

Number 1Number 2LCM
1852408880
1862407440
18724044880
18824011280
18924015120
1902404560
19124045840
192240960
19324046320
19424023280
1952403120
19624011760
19724047280
1982407920
19924047760
2002401200
20124016080
20224024240
20324048720
2042404080
2052409840
20624024720
20724016560
2082403120
20924050160
2102401680
21124050640
21224012720
21324017040
21424025680

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 200 and 240? (The answer is: 1200). Select the first number (e.g. '200') and the second number (e.g. '240'). 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 200 and 240?

LCM of 200 and 240 is 1,200

See Also