Least Common Multiple of 78/62, 76/82, 51/27, 98/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/62, 76/82, 51/27, 98/939 quickly i.e. 2469012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/62, 76/82, 51/27, 98/939 is 2469012.

LCM(78/62, 76/82, 51/27, 98/939) = 2469012

LCM of 78/62, 76/82, 51/27, 98/939

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 78/62,76/82,51/27,98/939

Given numbers are 78/62,76/82,51/27,98/939

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 78,76,51,98

Least Common Multiple of Numerators i.e. LCM of 78,76,51,98 is 2469012.

GCF of Denominators means GCF of 62,82,27,939 as per the given fractions.

GCF of 62,82,27,939 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,76,51,98

LCM of Fractions 78/62,76/82,51/27,98/939 is 2469012

2 78, 76, 51, 98
3 39, 38, 51, 49
13, 38, 17, 49

∴ So the LCM of the given numbers is 2 x 3 x 13 x 38 x 17 x 49 = 2469012

Least Common Multiple of 78,76,51,98 with GCF Formula

Least Common Multiple of 78,76,51,98 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 78,76,51,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,76,51,98) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(78,76,51,98) x common factors =1 x 12 = 12

LCM(78,76,51,98) = ( 78 × 76 × 51 × 98 ) / 12

LCM(78,76,51,98) = 29628144 / 12

LCM(78,76,51,98) = 2469012


Lets's calculate GCF of 62,82,27,939

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2469012/1

Therefore the LCM of Fractions 78/62,76/82,51/27,98/939 is 2469012

Greatest Common Factor of 62,82,27,939 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,82,27,939 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 82

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

1,2,41,82

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Greatest Common Factor

We found the factors 62,82,27,939 . The biggest common factor number is the GCF number.
So the greatest common factor 62,82,27,939 is 1.


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 78/62, 76/82, 51/27, 98/939

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 78/62, 76/82, 51/27, 98/939?

Answer: LCM of Numerators as per given numbers 78/62, 76/82, 51/27, 98/939 is

LCM of Numerators i.e. for 78,76,51,98 is 2469012

GCF of denominators i.e. for 62,82,27,939 is 1.

Thus, LCM of Fractions is 2469012.Finally, LCM of Fractions for 78/62, 76/82, 51/27, 98/939 is 2469012.