LCM for 40 and 460

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 40 and 460?

Answer

LCM of 40 and 460 is 920

(Nine hundred twenty)

Finding LCM for 40 and 460 using GCF of these numbers

The first method to find LCM for numbers 40 and 460 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 40 and 460 is 20, so

LCM = (40 × 460) ÷ 20

LCM = 18400 ÷ 20

LCM = 920

Finding LCM for 40 and 460 by Listing Multiples

The second method to find LCM for numbers 40 and 460 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

Multiples of 460: 460, 920, 1380, 1840

So the LCM for 40 and 460 is 920

Finding LCM for 40 and 460 by Prime Factorization

Another method to find LCM for numbers 40 and 460 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 460: 2, 2, 5, 23 (exponent form: 22, 51, 231)

23 × 51 × 231 = 920

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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 460? (The answer is: 920). Select the first number (e.g. '40') and the second number (e.g. '460'). 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

LCM Table

Number 1Number 2LCM
254602300
264605980
2746012420
284603220
2946013340
304601380
3146014260
324603680
3346015180
344607820
354603220
364604140
3746017020
384608740
3946017940
40460920
4146018860
424609660
4346019780
444605060
454604140
46460460
4746021620
484605520
4946022540
504602300
5146023460
524605980
5346024380
5446012420

FAQ

What's the Least Common Multiple (LCM) of 40 and 460?

LCM of 40 and 460 is 920

How to find the LCM of 40 and 460 using prime factorization?

To find the LCM of 40 and 460, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 920.

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 460: LCM = 920, GCF = 20.

See Also