Least Common Multiple of 490/29, 440/12, 966/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/29, 440/12, 966/480 quickly i.e. 1487640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/29, 440/12, 966/480 is 1487640.

LCM(490/29, 440/12, 966/480) = 1487640

LCM of 490/29, 440/12, 966/480

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 490/29,440/12,966/480

Given numbers are 490/29,440/12,966/480

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 490,440,966

Least Common Multiple of Numerators i.e. LCM of 490,440,966 is 1487640.

GCF of Denominators means GCF of 29,12,480 as per the given fractions.

GCF of 29,12,480 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,440,966

LCM of Fractions 490/29,440/12,966/480 is 1487640

2 490, 440, 966
5 245, 220, 483
7 49, 44, 483
7, 44, 69

∴ So the LCM of the given numbers is 2 x 5 x 7 x 7 x 44 x 69 = 1487640

Least Common Multiple of 490,440,966 with GCF Formula

Least Common Multiple of 490,440,966 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 490,440,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,440,966) = 2

common factors(in case of two or more numbers have common factors) = 70

GCF(490,440,966) x common factors =2 x 70 = 140

LCM(490,440,966) = ( 490 × 440 × 966 ) / 140

LCM(490,440,966) = 208269600 / 140

LCM(490,440,966) = 1487640


Lets's calculate GCF of 29,12,480

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1487640/1

Therefore the LCM of Fractions 490/29,440/12,966/480 is 1487640

Greatest Common Factor of 29,12,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,12,480 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 29,12,480 . The biggest common factor number is the GCF number.
So the greatest common factor 29,12,480 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 490/29, 440/12, 966/480

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 490/29, 440/12, 966/480?

Answer: LCM of Numerators as per given numbers 490/29, 440/12, 966/480 is

LCM of Numerators i.e. for 490,440,966 is 1487640

GCF of denominators i.e. for 29,12,480 is 1.

Thus, LCM of Fractions is 1487640.Finally, LCM of Fractions for 490/29, 440/12, 966/480 is 1487640.