Least Common Multiple of 908/76, 980/22, 295/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 908/76, 980/22, 295/862 quickly i.e. 6562570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 908/76, 980/22, 295/862 is 6562570.

LCM(908/76, 980/22, 295/862) = 6562570

LCM of 908/76, 980/22, 295/862

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 908/76,980/22,295/862

Given numbers are 908/76,980/22,295/862

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 908,980,295

Least Common Multiple of Numerators i.e. LCM of 908,980,295 is 13125140.

GCF of Denominators means GCF of 76,22,862 as per the given fractions.

GCF of 76,22,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 908,980,295

LCM of Fractions 908/76,980/22,295/862 is 6562570

2 908, 980, 295
2 454, 490, 295
5 227, 245, 295
227, 49, 59

∴ So the LCM of the given numbers is 2 x 2 x 5 x 227 x 49 x 59 = 13125140

Least Common Multiple of 908,980,295 with GCF Formula

Least Common Multiple of 908,980,295 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 908,980,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,980,295) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(908,980,295) x common factors =1 x 20 = 20

LCM(908,980,295) = ( 908 × 980 × 295 ) / 20

LCM(908,980,295) = 262502800 / 20

LCM(908,980,295) = 13125140


Lets's calculate GCF of 76,22,862

2 76, 22, 862
38, 11, 431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13125140/2

Therefore the LCM of Fractions 908/76,980/22,295/862 is 6562570

Greatest Common Factor of 76,22,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,22,862 By Matching Biggest Common Factor Method

Factors of 76

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

1,2,4,19,38,76

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 76,22,862 . The biggest common factor number is the GCF number.
So the greatest common factor 76,22,862 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 908/76, 980/22, 295/862

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 908/76, 980/22, 295/862?

Answer: LCM of Numerators as per given numbers 908/76, 980/22, 295/862 is

LCM of Numerators i.e. for 908,980,295 is 13125140

GCF of denominators i.e. for 76,22,862 is 2.

Thus, LCM of Fractions is 6562570.Finally, LCM of Fractions for 908/76, 980/22, 295/862 is 6562570.