Least Common Multiple of 748/22, 975/86, 159/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 748/22, 975/86, 159/316 quickly i.e. 19326450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 748/22, 975/86, 159/316 is 19326450.

LCM(748/22, 975/86, 159/316) = 19326450

LCM of 748/22, 975/86, 159/316

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 748/22,975/86,159/316

Given numbers are 748/22,975/86,159/316

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 748,975,159

Least Common Multiple of Numerators i.e. LCM of 748,975,159 is 38652900.

GCF of Denominators means GCF of 22,86,316 as per the given fractions.

GCF of 22,86,316 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 748,975,159

LCM of Fractions 748/22,975/86,159/316 is 19326450

3 748, 975, 159
748, 325, 53

∴ So the LCM of the given numbers is 3 x 748 x 325 x 53 = 38652900

Least Common Multiple of 748,975,159 with GCF Formula

Least Common Multiple of 748,975,159 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 748,975,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,975,159) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(748,975,159) x common factors =1 x 3 = 3

LCM(748,975,159) = ( 748 × 975 × 159 ) / 3

LCM(748,975,159) = 115958700 / 3

LCM(748,975,159) = 38652900


Lets's calculate GCF of 22,86,316

2 22, 86, 316
11, 43, 158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38652900/2

Therefore the LCM of Fractions 748/22,975/86,159/316 is 19326450

Greatest Common Factor of 22,86,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,86,316 By Matching Biggest Common Factor Method

Factors of 22

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

1,2,11,22

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 22,86,316 . The biggest common factor number is the GCF number.
So the greatest common factor 22,86,316 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 748/22, 975/86, 159/316

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 748/22, 975/86, 159/316?

Answer: LCM of Numerators as per given numbers 748/22, 975/86, 159/316 is

LCM of Numerators i.e. for 748,975,159 is 38652900

GCF of denominators i.e. for 22,86,316 is 2.

Thus, LCM of Fractions is 19326450.Finally, LCM of Fractions for 748/22, 975/86, 159/316 is 19326450.