Least Common Multiple of 868/76, 763/32, 562/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 868/76, 763/32, 562/164 quickly i.e. 6646493 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/76, 763/32, 562/164 is 6646493.

LCM(868/76, 763/32, 562/164) = 6646493

LCM of 868/76, 763/32, 562/164

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 868/76,763/32,562/164

Given numbers are 868/76,763/32,562/164

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 868,763,562

Least Common Multiple of Numerators i.e. LCM of 868,763,562 is 26585972.

GCF of Denominators means GCF of 76,32,164 as per the given fractions.

GCF of 76,32,164 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,763,562

LCM of Fractions 868/76,763/32,562/164 is 6646493

2 868, 763, 562
7 434, 763, 281
62, 109, 281

∴ So the LCM of the given numbers is 2 x 7 x 62 x 109 x 281 = 26585972

Least Common Multiple of 868,763,562 with GCF Formula

Least Common Multiple of 868,763,562 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 868,763,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,763,562) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(868,763,562) x common factors =1 x 14 = 14

LCM(868,763,562) = ( 868 × 763 × 562 ) / 14

LCM(868,763,562) = 372203608 / 14

LCM(868,763,562) = 26585972


Lets's calculate GCF of 76,32,164

2 76, 32, 164
2 38, 16, 82
19, 8, 41

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26585972/4

Therefore the LCM of Fractions 868/76,763/32,562/164 is 6646493

Greatest Common Factor of 76,32,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,32,164 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 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 76,32,164 . The biggest common factor number is the GCF number.
So the greatest common factor 76,32,164 is 4.


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 868/76, 763/32, 562/164

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 868/76, 763/32, 562/164?

Answer: LCM of Numerators as per given numbers 868/76, 763/32, 562/164 is

LCM of Numerators i.e. for 868,763,562 is 26585972

GCF of denominators i.e. for 76,32,164 is 4.

Thus, LCM of Fractions is 6646493.Finally, LCM of Fractions for 868/76, 763/32, 562/164 is 6646493.