Least Common Multiple of 676/864, 474/948, 212/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 676/864, 474/948, 212/101 quickly i.e. 8491236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/864, 474/948, 212/101 is 8491236.

LCM(676/864, 474/948, 212/101) = 8491236

LCM of 676/864, 474/948, 212/101

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 676/864,474/948,212/101

Given numbers are 676/864,474/948,212/101

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 676,474,212

Least Common Multiple of Numerators i.e. LCM of 676,474,212 is 8491236.

GCF of Denominators means GCF of 864,948,101 as per the given fractions.

GCF of 864,948,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,474,212

LCM of Fractions 676/864,474/948,212/101 is 8491236

2 676, 474, 212
2 338, 237, 106
169, 237, 53

∴ So the LCM of the given numbers is 2 x 2 x 169 x 237 x 53 = 8491236

Least Common Multiple of 676,474,212 with GCF Formula

Least Common Multiple of 676,474,212 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 676,474,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,474,212) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(676,474,212) x common factors =2 x 4 = 8

LCM(676,474,212) = ( 676 × 474 × 212 ) / 8

LCM(676,474,212) = 67929888 / 8

LCM(676,474,212) = 8491236


Lets's calculate GCF of 864,948,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8491236/1

Therefore the LCM of Fractions 676/864,474/948,212/101 is 8491236

Greatest Common Factor of 864,948,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,948,101 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 864,948,101 . The biggest common factor number is the GCF number.
So the greatest common factor 864,948,101 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 676/864, 474/948, 212/101

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 676/864, 474/948, 212/101?

Answer: LCM of Numerators as per given numbers 676/864, 474/948, 212/101 is

LCM of Numerators i.e. for 676,474,212 is 8491236

GCF of denominators i.e. for 864,948,101 is 1.

Thus, LCM of Fractions is 8491236.Finally, LCM of Fractions for 676/864, 474/948, 212/101 is 8491236.