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

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

LCM Table

Number 1Number 2LCM
60240240
602452940
602501500
60260780
602753300
60280840
602901740
602953540
603151260
60320960
60330660
603401020
603451380
60360360
603654380
603702220
60390780
604001200
604102460
604154980
60420420
604302580
604351740
604455340
60450900
604555460
604651860
604902940
604951980
605001500

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