Least Common Multiple of 616/80, 868/76, 278/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 616/80, 868/76, 278/376 quickly i.e. 663586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/80, 868/76, 278/376 is 663586.

LCM(616/80, 868/76, 278/376) = 663586

LCM of 616/80, 868/76, 278/376

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 616/80,868/76,278/376

Given numbers are 616/80,868/76,278/376

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 616,868,278

Least Common Multiple of Numerators i.e. LCM of 616,868,278 is 2654344.

GCF of Denominators means GCF of 80,76,376 as per the given fractions.

GCF of 80,76,376 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,868,278

LCM of Fractions 616/80,868/76,278/376 is 663586

2 616, 868, 278
2 308, 434, 139
7 154, 217, 139
22, 31, 139

∴ So the LCM of the given numbers is 2 x 2 x 7 x 22 x 31 x 139 = 2654344

Least Common Multiple of 616,868,278 with GCF Formula

Least Common Multiple of 616,868,278 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 616,868,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,868,278) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(616,868,278) x common factors =2 x 28 = 56

LCM(616,868,278) = ( 616 × 868 × 278 ) / 56

LCM(616,868,278) = 148643264 / 56

LCM(616,868,278) = 2654344


Lets's calculate GCF of 80,76,376

2 80, 76, 376
2 40, 38, 188
20, 19, 94

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2654344/4

Therefore the LCM of Fractions 616/80,868/76,278/376 is 663586

Greatest Common Factor of 80,76,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,76,376 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 80,76,376 . The biggest common factor number is the GCF number.
So the greatest common factor 80,76,376 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 616/80, 868/76, 278/376

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 616/80, 868/76, 278/376?

Answer: LCM of Numerators as per given numbers 616/80, 868/76, 278/376 is

LCM of Numerators i.e. for 616,868,278 is 2654344

GCF of denominators i.e. for 80,76,376 is 4.

Thus, LCM of Fractions is 663586.Finally, LCM of Fractions for 616/80, 868/76, 278/376 is 663586.