Least Common Multiple of 734/878, 311/652, 453/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/878, 311/652, 453/141 quickly i.e. 103408122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/878, 311/652, 453/141 is 103408122.

LCM(734/878, 311/652, 453/141) = 103408122

LCM of 734/878, 311/652, 453/141

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 734/878,311/652,453/141

Given numbers are 734/878,311/652,453/141

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 734,311,453

Least Common Multiple of Numerators i.e. LCM of 734,311,453 is 103408122.

GCF of Denominators means GCF of 878,652,141 as per the given fractions.

GCF of 878,652,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,311,453

LCM of Fractions 734/878,311/652,453/141 is 103408122

Given numbers has no common factors except 1. So, there LCM is their product i.e 103408122

Least Common Multiple of 734,311,453 with GCF Formula

Least Common Multiple of 734,311,453 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 734,311,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,311,453) = 1

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

GCF(734,311,453) x common factors =1 x 1 = 1

LCM(734,311,453) = ( 734 × 311 × 453 ) / 1

LCM(734,311,453) = 103408122 / 1

LCM(734,311,453) = 103408122


Lets's calculate GCF of 878,652,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103408122/1

Therefore the LCM of Fractions 734/878,311/652,453/141 is 103408122

Greatest Common Factor of 878,652,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,652,141 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 878,652,141 . The biggest common factor number is the GCF number.
So the greatest common factor 878,652,141 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 734/878, 311/652, 453/141

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 734/878, 311/652, 453/141?

Answer: LCM of Numerators as per given numbers 734/878, 311/652, 453/141 is

LCM of Numerators i.e. for 734,311,453 is 103408122

GCF of denominators i.e. for 878,652,141 is 1.

Thus, LCM of Fractions is 103408122.Finally, LCM of Fractions for 734/878, 311/652, 453/141 is 103408122.