LCM for 40 and 380

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 40 and 380?

Answer

LCM of 40 and 380 is 760

(Seven hundred sixty)

Finding LCM for 40 and 380 using GCF of these numbers

The first method to find LCM for numbers 40 and 380 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 40 and 380 is 20, so

LCM = (40 × 380) ÷ 20

LCM = 15200 ÷ 20

LCM = 760

Finding LCM for 40 and 380 by Listing Multiples

The second method to find LCM for numbers 40 and 380 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

Multiples of 380: 380, 760, 1140, 1520

So the LCM for 40 and 380 is 760

Finding LCM for 40 and 380 by Prime Factorization

Another method to find LCM for numbers 40 and 380 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 380: 2, 2, 5, 19 (exponent form: 22, 51, 191)

23 × 51 × 191 = 760

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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 380? (The answer is: 760). Select the first number (e.g. '40') and the second number (e.g. '380'). 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
253801900
263804940
2738010260
283802660
2938011020
303801140
3138011780
323803040
3338012540
343806460
353802660
363803420
3738014060
38380380
3938014820
40380760
4138015580
423807980
4338016340
443804180
453803420
463808740
4738017860
483804560
4938018620
503801900
5138019380
523804940
5338020140
5438010260

FAQ

What's the Least Common Multiple (LCM) of 40 and 380?

LCM of 40 and 380 is 760

How to find the LCM of 40 and 380 using prime factorization?

To find the LCM of 40 and 380, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 760.

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 380: LCM = 760, GCF = 20.

See Also