Least Common Multiple of 310/48, 610/82, 928/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 310/48, 610/82, 928/876 quickly i.e. 4387120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/48, 610/82, 928/876 is 4387120.

LCM(310/48, 610/82, 928/876) = 4387120

LCM of 310/48, 610/82, 928/876

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 310/48,610/82,928/876

Given numbers are 310/48,610/82,928/876

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 310,610,928

Least Common Multiple of Numerators i.e. LCM of 310,610,928 is 8774240.

GCF of Denominators means GCF of 48,82,876 as per the given fractions.

GCF of 48,82,876 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,610,928

LCM of Fractions 310/48,610/82,928/876 is 4387120

2 310, 610, 928
5 155, 305, 464
31, 61, 464

∴ So the LCM of the given numbers is 2 x 5 x 31 x 61 x 464 = 8774240

Least Common Multiple of 310,610,928 with GCF Formula

Least Common Multiple of 310,610,928 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 310,610,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,610,928) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(310,610,928) x common factors =2 x 10 = 20

LCM(310,610,928) = ( 310 × 610 × 928 ) / 20

LCM(310,610,928) = 175484800 / 20

LCM(310,610,928) = 8774240


Lets's calculate GCF of 48,82,876

2 48, 82, 876
24, 41, 438

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8774240/2

Therefore the LCM of Fractions 310/48,610/82,928/876 is 4387120

Greatest Common Factor of 48,82,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,82,876 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 48,82,876 . The biggest common factor number is the GCF number.
So the greatest common factor 48,82,876 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 310/48, 610/82, 928/876

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 310/48, 610/82, 928/876?

Answer: LCM of Numerators as per given numbers 310/48, 610/82, 928/876 is

LCM of Numerators i.e. for 310,610,928 is 8774240

GCF of denominators i.e. for 48,82,876 is 2.

Thus, LCM of Fractions is 4387120.Finally, LCM of Fractions for 310/48, 610/82, 928/876 is 4387120.