Least Common Multiple of 64/258, 9172/4418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/258, 9172/4418 quickly i.e. 73376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/258, 9172/4418 is 73376.

LCM(64/258, 9172/4418) = 73376

LCM of 64/258, 9172/4418

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 64/258,9172/4418

Given numbers are 64/258,9172/4418

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 64,9172

Least Common Multiple of Numerators i.e. LCM of 64,9172 is 146752.

GCF of Denominators means GCF of 258,4418 as per the given fractions.

GCF of 258,4418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,9172

LCM of Fractions 64/258,9172/4418 is 73376

2 64, 9172
2 32, 4586
16, 2293

∴ So the LCM of the given numbers is 2 x 2 x 16 x 2293 = 146752

Least Common Multiple of 64,9172 with GCF Formula

Least Common Multiple of 64,9172 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 64,9172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,9172) = 4

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

GCF(64,9172) x common factors =4 x 1 = 4

LCM(64,9172) = ( 64 × 9172 ) / 4

LCM(64,9172) = 587008 / 4

LCM(64,9172) = 146752


Lets's calculate GCF of 258,4418

2 258, 4418
129, 2209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146752/2

Therefore the LCM of Fractions 64/258,9172/4418 is 73376

Greatest Common Factor of 258,4418 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,4418 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 4418

List of positive integer factors of 4418 that divides 4418 without a remainder.

1,2,47,94,2209,4418

Greatest Common Factor

We found the factors 258,4418 . The biggest common factor number is the GCF number.
So the greatest common factor 258,4418 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/258, 9172/4418

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 64/258, 9172/4418?

Answer: LCM of Numerators as per given numbers 64/258, 9172/4418 is

LCM of Numerators i.e. for 64,9172 is 146752

GCF of denominators i.e. for 258,4418 is 2.

Thus, LCM of Fractions is 73376.Finally, LCM of Fractions for 64/258, 9172/4418 is 73376.