Least Common Multiple of 656/66, 320/14, 149/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 656/66, 320/14, 149/76 quickly i.e. 977440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 656/66, 320/14, 149/76 is 977440.

LCM(656/66, 320/14, 149/76) = 977440

LCM of 656/66, 320/14, 149/76

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 656/66,320/14,149/76

Given numbers are 656/66,320/14,149/76

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 656,320,149

Least Common Multiple of Numerators i.e. LCM of 656,320,149 is 1954880.

GCF of Denominators means GCF of 66,14,76 as per the given fractions.

GCF of 66,14,76 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 656,320,149

LCM of Fractions 656/66,320/14,149/76 is 977440

2 656, 320, 149
2 328, 160, 149
2 164, 80, 149
2 82, 40, 149
41, 20, 149

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 41 x 20 x 149 = 1954880

Least Common Multiple of 656,320,149 with GCF Formula

Least Common Multiple of 656,320,149 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 656,320,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,320,149) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(656,320,149) x common factors =1 x 16 = 16

LCM(656,320,149) = ( 656 × 320 × 149 ) / 16

LCM(656,320,149) = 31278080 / 16

LCM(656,320,149) = 1954880


Lets's calculate GCF of 66,14,76

2 66, 14, 76
33, 7, 38

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1954880/2

Therefore the LCM of Fractions 656/66,320/14,149/76 is 977440

Greatest Common Factor of 66,14,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,14,76 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Greatest Common Factor

We found the factors 66,14,76 . The biggest common factor number is the GCF number.
So the greatest common factor 66,14,76 is 2.


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 656/66, 320/14, 149/76

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 656/66, 320/14, 149/76?

Answer: LCM of Numerators as per given numbers 656/66, 320/14, 149/76 is

LCM of Numerators i.e. for 656,320,149 is 1954880

GCF of denominators i.e. for 66,14,76 is 2.

Thus, LCM of Fractions is 977440.Finally, LCM of Fractions for 656/66, 320/14, 149/76 is 977440.