Least Common Multiple of 977/28, 982/6844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 977/28, 982/6844 quickly i.e. 959414/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/28, 982/6844 is 959414/4.

LCM(977/28, 982/6844) = 959414/4

LCM of 977/28, 982/6844

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 977/28,982/6844

Given numbers are 977/28,982/6844

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 977,982

Least Common Multiple of Numerators i.e. LCM of 977,982 is 959414.

GCF of Denominators means GCF of 28,6844 as per the given fractions.

GCF of 28,6844 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,982

LCM of Fractions 977/28,982/6844 is 959414/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 959414

Least Common Multiple of 977,982 with GCF Formula

Least Common Multiple of 977,982 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 977,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,982) = 1

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

GCF(977,982) x common factors =1 x 1 = 1

LCM(977,982) = ( 977 × 982 ) / 1

LCM(977,982) = 959414 / 1

LCM(977,982) = 959414


Lets's calculate GCF of 28,6844

2 28, 6844
2 14, 3422
7, 1711

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 959414/4

Therefore the LCM of Fractions 977/28,982/6844 is 959414/4

Greatest Common Factor of 28,6844 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,6844 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 6844

List of positive integer factors of 6844 that divides 6844 without a remainder.

1,2,4,29,58,59,116,118,236,1711,3422,6844

Greatest Common Factor

We found the factors 28,6844 . The biggest common factor number is the GCF number.
So the greatest common factor 28,6844 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 977/28, 982/6844

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 977/28, 982/6844?

Answer: LCM of Numerators as per given numbers 977/28, 982/6844 is

LCM of Numerators i.e. for 977,982 is 959414

GCF of denominators i.e. for 28,6844 is 4.

Thus, LCM of Fractions is 959414/4.Finally, LCM of Fractions for 977/28, 982/6844 is 959414/4.