Least Common Multiple of 114/987, 977/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/987, 977/856 quickly i.e. 111378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/987, 977/856 is 111378.

LCM(114/987, 977/856) = 111378

LCM of 114/987, 977/856

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 114/987,977/856

Given numbers are 114/987,977/856

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 114,977

Least Common Multiple of Numerators i.e. LCM of 114,977 is 111378.

GCF of Denominators means GCF of 987,856 as per the given fractions.

GCF of 987,856 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,977

LCM of Fractions 114/987,977/856 is 111378

Given numbers has no common factors except 1. So, there LCM is their product i.e 111378

Least Common Multiple of 114,977 with GCF Formula

Least Common Multiple of 114,977 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 114,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,977) = 1

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

GCF(114,977) x common factors =1 x 1 = 1

LCM(114,977) = ( 114 × 977 ) / 1

LCM(114,977) = 111378 / 1

LCM(114,977) = 111378


Lets's calculate GCF of 987,856

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111378/1

Therefore the LCM of Fractions 114/987,977/856 is 111378

Greatest Common Factor of 987,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,856 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 987,856 . The biggest common factor number is the GCF number.
So the greatest common factor 987,856 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 114/987, 977/856

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 114/987, 977/856?

Answer: LCM of Numerators as per given numbers 114/987, 977/856 is

LCM of Numerators i.e. for 114,977 is 111378

GCF of denominators i.e. for 987,856 is 1.

Thus, LCM of Fractions is 111378.Finally, LCM of Fractions for 114/987, 977/856 is 111378.