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LCM for 60 and 490

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 490?

Answer

LCM of 60 and 490 is 2,940

(Two thousand, nine hundred forty)

Finding LCM for 60 and 490 using GCF of these numbers

The first method to find LCM for numbers 60 and 490 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 490 is 10, so

LCM = (60 × 490) ÷ 10

LCM = 29400 ÷ 10

LCM = 2940

Finding LCM for 60 and 490 by Listing Multiples

The second method to find LCM for numbers 60 and 490 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860, 1920, 1980, 2040, 2100, 2160, 2220, 2280, 2340, 2400, 2460, 2520, 2580, 2640, 2700, 2760, 2820, 2880, 2940, 3000, 3060

Multiples of 490: 490, 980, 1470, 1960, 2450, 2940, 3430, 3920

So the LCM for 60 and 490 is 2940

Finding LCM for 60 and 490 by Prime Factorization

Another method to find LCM for numbers 60 and 490 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

All Prime Factors of 490: 2, 5, 7, 7 (exponent form: 21, 51, 72)

22 × 31 × 51 × 72 = 2940

See Also

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What is the LCM of 60 and 490?. Find the LCM of 60 and 490 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
454904410
4649011270
4749023030
4849011760
49490490
504902450
5149024990
5249012740
5349025970
5449013230
554905390
564901960
5749027930
5849014210
5949028910
604902940
6149029890
6249015190
634904410
6449015680
654906370
6649016170
6749032830
6849016660
6949033810
70490490
7149034790
7249017640
7349035770
7449018130

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 60 and 490? (The answer is: 2940). Select the first number (e.g. '60') and the second number (e.g. '490'). 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 60 and 490?

LCM of 60 and 490 is 2,940

How to find the LCM of 60 and 490 using prime factorization?

To find the LCM of 60 and 490, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,940.

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 60 and 490: LCM = 2,940, GCF = 10.

See Also