Least Common Multiple of 9076/608, 2618/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9076/608, 2618/316 quickly i.e. 2970121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9076/608, 2618/316 is 2970121.

LCM(9076/608, 2618/316) = 2970121

LCM of 9076/608, 2618/316

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 9076/608,2618/316

Given numbers are 9076/608,2618/316

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 9076,2618

Least Common Multiple of Numerators i.e. LCM of 9076,2618 is 11880484.

GCF of Denominators means GCF of 608,316 as per the given fractions.

GCF of 608,316 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9076,2618

LCM of Fractions 9076/608,2618/316 is 2970121

2 9076, 2618
4538, 1309

∴ So the LCM of the given numbers is 2 x 4538 x 1309 = 11880484

Least Common Multiple of 9076,2618 with GCF Formula

Least Common Multiple of 9076,2618 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 9076,2618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9076,2618) = 2

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

GCF(9076,2618) x common factors =2 x 1 = 2

LCM(9076,2618) = ( 9076 × 2618 ) / 2

LCM(9076,2618) = 23760968 / 2

LCM(9076,2618) = 11880484


Lets's calculate GCF of 608,316

2 608, 316
2 304, 158
152, 79

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11880484/4

Therefore the LCM of Fractions 9076/608,2618/316 is 2970121

Greatest Common Factor of 608,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,316 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 608,316 . The biggest common factor number is the GCF number.
So the greatest common factor 608,316 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9076/608, 2618/316

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 9076/608, 2618/316?

Answer: LCM of Numerators as per given numbers 9076/608, 2618/316 is

LCM of Numerators i.e. for 9076,2618 is 11880484

GCF of denominators i.e. for 608,316 is 4.

Thus, LCM of Fractions is 2970121.Finally, LCM of Fractions for 9076/608, 2618/316 is 2970121.