Least Common Multiple of 78/82, 44/16, 251/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/82, 44/16, 251/718 quickly i.e. 215358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/82, 44/16, 251/718 is 215358.

LCM(78/82, 44/16, 251/718) = 215358

LCM of 78/82, 44/16, 251/718

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 78/82,44/16,251/718

Given numbers are 78/82,44/16,251/718

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 78,44,251

Least Common Multiple of Numerators i.e. LCM of 78,44,251 is 430716.

GCF of Denominators means GCF of 82,16,718 as per the given fractions.

GCF of 82,16,718 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,44,251

LCM of Fractions 78/82,44/16,251/718 is 215358

2 78, 44, 251
39, 22, 251

∴ So the LCM of the given numbers is 2 x 39 x 22 x 251 = 430716

Least Common Multiple of 78,44,251 with GCF Formula

Least Common Multiple of 78,44,251 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 78,44,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,44,251) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,44,251) x common factors =1 x 2 = 2

LCM(78,44,251) = ( 78 × 44 × 251 ) / 2

LCM(78,44,251) = 861432 / 2

LCM(78,44,251) = 430716


Lets's calculate GCF of 82,16,718

2 82, 16, 718
41, 8, 359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 430716/2

Therefore the LCM of Fractions 78/82,44/16,251/718 is 215358

Greatest Common Factor of 82,16,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,16,718 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 82,16,718 . The biggest common factor number is the GCF number.
So the greatest common factor 82,16,718 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 78/82, 44/16, 251/718

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 78/82, 44/16, 251/718?

Answer: LCM of Numerators as per given numbers 78/82, 44/16, 251/718 is

LCM of Numerators i.e. for 78,44,251 is 430716

GCF of denominators i.e. for 82,16,718 is 2.

Thus, LCM of Fractions is 215358.Finally, LCM of Fractions for 78/82, 44/16, 251/718 is 215358.