Least Common Multiple of 308/316, 1078/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/316, 1078/472 quickly i.e. 539 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/316, 1078/472 is 539.

LCM(308/316, 1078/472) = 539

LCM of 308/316, 1078/472

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 308/316,1078/472

Given numbers are 308/316,1078/472

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 308,1078

Least Common Multiple of Numerators i.e. LCM of 308,1078 is 2156.

GCF of Denominators means GCF of 316,472 as per the given fractions.

GCF of 316,472 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,1078

LCM of Fractions 308/316,1078/472 is 539

2 308, 1078
7 154, 539
11 22, 77
2, 7

∴ So the LCM of the given numbers is 2 x 7 x 11 x 2 x 7 = 2156

Least Common Multiple of 308,1078 with GCF Formula

Least Common Multiple of 308,1078 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 308,1078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,1078) = 154

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

GCF(308,1078) x common factors =154 x 1 = 154

LCM(308,1078) = ( 308 × 1078 ) / 154

LCM(308,1078) = 332024 / 154

LCM(308,1078) = 2156


Lets's calculate GCF of 316,472

2 316, 472
2 158, 236
79, 118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2156/4

Therefore the LCM of Fractions 308/316,1078/472 is 539

Greatest Common Factor of 316,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,472 By Matching Biggest Common Factor Method

Factors of 316

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

1,2,4,79,158,316

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 316,472 . The biggest common factor number is the GCF number.
So the greatest common factor 316,472 is 4.


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 308/316, 1078/472

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 308/316, 1078/472?

Answer: LCM of Numerators as per given numbers 308/316, 1078/472 is

LCM of Numerators i.e. for 308,1078 is 2156

GCF of denominators i.e. for 316,472 is 4.

Thus, LCM of Fractions is 539.Finally, LCM of Fractions for 308/316, 1078/472 is 539.