Least Common Multiple of 918/358, 8734/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 918/358, 8734/242 quickly i.e. 2004453 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 918/358, 8734/242 is 2004453.

LCM(918/358, 8734/242) = 2004453

LCM of 918/358, 8734/242

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 918/358,8734/242

Given numbers are 918/358,8734/242

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 918,8734

Least Common Multiple of Numerators i.e. LCM of 918,8734 is 4008906.

GCF of Denominators means GCF of 358,242 as per the given fractions.

GCF of 358,242 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 918,8734

LCM of Fractions 918/358,8734/242 is 2004453

2 918, 8734
459, 4367

∴ So the LCM of the given numbers is 2 x 459 x 4367 = 4008906

Least Common Multiple of 918,8734 with GCF Formula

Least Common Multiple of 918,8734 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 918,8734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,8734) = 2

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

GCF(918,8734) x common factors =2 x 1 = 2

LCM(918,8734) = ( 918 × 8734 ) / 2

LCM(918,8734) = 8017812 / 2

LCM(918,8734) = 4008906


Lets's calculate GCF of 358,242

2 358, 242
179, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4008906/2

Therefore the LCM of Fractions 918/358,8734/242 is 2004453

Greatest Common Factor of 358,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 358,242 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 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 358,242 . The biggest common factor number is the GCF number.
So the greatest common factor 358,242 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 918/358, 8734/242

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 918/358, 8734/242?

Answer: LCM of Numerators as per given numbers 918/358, 8734/242 is

LCM of Numerators i.e. for 918,8734 is 4008906

GCF of denominators i.e. for 358,242 is 2.

Thus, LCM of Fractions is 2004453.Finally, LCM of Fractions for 918/358, 8734/242 is 2004453.