Least Common Multiple of 634/358, 7152/3118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 634/358, 7152/3118 quickly i.e. 1133592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 634/358, 7152/3118 is 1133592.

LCM(634/358, 7152/3118) = 1133592

LCM of 634/358, 7152/3118

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 634/358,7152/3118

Given numbers are 634/358,7152/3118

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 634,7152

Least Common Multiple of Numerators i.e. LCM of 634,7152 is 2267184.

GCF of Denominators means GCF of 358,3118 as per the given fractions.

GCF of 358,3118 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 634,7152

LCM of Fractions 634/358,7152/3118 is 1133592

2 634, 7152
317, 3576

∴ So the LCM of the given numbers is 2 x 317 x 3576 = 2267184

Least Common Multiple of 634,7152 with GCF Formula

Least Common Multiple of 634,7152 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 634,7152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,7152) = 2

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

GCF(634,7152) x common factors =2 x 1 = 2

LCM(634,7152) = ( 634 × 7152 ) / 2

LCM(634,7152) = 4534368 / 2

LCM(634,7152) = 2267184


Lets's calculate GCF of 358,3118

2 358, 3118
179, 1559

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2267184/2

Therefore the LCM of Fractions 634/358,7152/3118 is 1133592

Greatest Common Factor of 358,3118 By Matching Biggest Common Factor Method

Greatest Common Factor of 358,3118 By Matching Biggest Common Factor Method

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 3118

List of positive integer factors of 3118 that divides 3118 without a remainder.

1,2,1559,3118

Greatest Common Factor

We found the factors 358,3118 . The biggest common factor number is the GCF number.
So the greatest common factor 358,3118 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 634/358, 7152/3118

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 634/358, 7152/3118?

Answer: LCM of Numerators as per given numbers 634/358, 7152/3118 is

LCM of Numerators i.e. for 634,7152 is 2267184

GCF of denominators i.e. for 358,3118 is 2.

Thus, LCM of Fractions is 1133592.Finally, LCM of Fractions for 634/358, 7152/3118 is 1133592.