Least Common Multiple of 769/118, 269/167, 543/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 769/118, 269/167, 543/922 quickly i.e. 112325523 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/118, 269/167, 543/922 is 112325523.

LCM(769/118, 269/167, 543/922) = 112325523

LCM of 769/118, 269/167, 543/922

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 769/118,269/167,543/922

Given numbers are 769/118,269/167,543/922

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 769,269,543

Least Common Multiple of Numerators i.e. LCM of 769,269,543 is 112325523.

GCF of Denominators means GCF of 118,167,922 as per the given fractions.

GCF of 118,167,922 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,269,543

LCM of Fractions 769/118,269/167,543/922 is 112325523

Given numbers has no common factors except 1. So, there LCM is their product i.e 112325523

Least Common Multiple of 769,269,543 with GCF Formula

Least Common Multiple of 769,269,543 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 769,269,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,269,543) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(769,269,543) x common factors =1 x 1 = 1

LCM(769,269,543) = ( 769 × 269 × 543 ) / 1

LCM(769,269,543) = 112325523 / 1

LCM(769,269,543) = 112325523


Lets's calculate GCF of 118,167,922

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112325523/1

Therefore the LCM of Fractions 769/118,269/167,543/922 is 112325523

Greatest Common Factor of 118,167,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,167,922 By Matching Biggest Common Factor Method

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 118,167,922 . The biggest common factor number is the GCF number.
So the greatest common factor 118,167,922 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 769/118, 269/167, 543/922

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 769/118, 269/167, 543/922?

Answer: LCM of Numerators as per given numbers 769/118, 269/167, 543/922 is

LCM of Numerators i.e. for 769,269,543 is 112325523

GCF of denominators i.e. for 118,167,922 is 1.

Thus, LCM of Fractions is 112325523.Finally, LCM of Fractions for 769/118, 269/167, 543/922 is 112325523.