Least Common Multiple of 6982/988, 1077/2942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6982/988, 1077/2942 quickly i.e. 3759807 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6982/988, 1077/2942 is 3759807.

LCM(6982/988, 1077/2942) = 3759807

LCM of 6982/988, 1077/2942

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 6982/988,1077/2942

Given numbers are 6982/988,1077/2942

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 6982,1077

Least Common Multiple of Numerators i.e. LCM of 6982,1077 is 7519614.

GCF of Denominators means GCF of 988,2942 as per the given fractions.

GCF of 988,2942 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6982,1077

LCM of Fractions 6982/988,1077/2942 is 3759807

Given numbers has no common factors except 1. So, there LCM is their product i.e 7519614

Least Common Multiple of 6982,1077 with GCF Formula

Least Common Multiple of 6982,1077 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 6982,1077 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6982,1077) = 1

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

GCF(6982,1077) x common factors =1 x 1 = 1

LCM(6982,1077) = ( 6982 × 1077 ) / 1

LCM(6982,1077) = 7519614 / 1

LCM(6982,1077) = 7519614


Lets's calculate GCF of 988,2942

2 988, 2942
494, 1471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7519614/2

Therefore the LCM of Fractions 6982/988,1077/2942 is 3759807

Greatest Common Factor of 988,2942 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,2942 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 2942

List of positive integer factors of 2942 that divides 2942 without a remainder.

1,2,1471,2942

Greatest Common Factor

We found the factors 988,2942 . The biggest common factor number is the GCF number.
So the greatest common factor 988,2942 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 6982/988, 1077/2942

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 6982/988, 1077/2942?

Answer: LCM of Numerators as per given numbers 6982/988, 1077/2942 is

LCM of Numerators i.e. for 6982,1077 is 7519614

GCF of denominators i.e. for 988,2942 is 2.

Thus, LCM of Fractions is 3759807.Finally, LCM of Fractions for 6982/988, 1077/2942 is 3759807.