Least Common Multiple of 114/418, 967/616, 971/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/418, 967/616, 971/543 quickly i.e. 107041098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/418, 967/616, 971/543 is 107041098.

LCM(114/418, 967/616, 971/543) = 107041098

LCM of 114/418, 967/616, 971/543

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 114/418,967/616,971/543

Given numbers are 114/418,967/616,971/543

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 114,967,971

Least Common Multiple of Numerators i.e. LCM of 114,967,971 is 107041098.

GCF of Denominators means GCF of 418,616,543 as per the given fractions.

GCF of 418,616,543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,967,971

LCM of Fractions 114/418,967/616,971/543 is 107041098

Given numbers has no common factors except 1. So, there LCM is their product i.e 107041098

Least Common Multiple of 114,967,971 with GCF Formula

Least Common Multiple of 114,967,971 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 114,967,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,967,971) = 1

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

GCF(114,967,971) x common factors =1 x 1 = 1

LCM(114,967,971) = ( 114 × 967 × 971 ) / 1

LCM(114,967,971) = 107041098 / 1

LCM(114,967,971) = 107041098


Lets's calculate GCF of 418,616,543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107041098/1

Therefore the LCM of Fractions 114/418,967/616,971/543 is 107041098

Greatest Common Factor of 418,616,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,616,543 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 418,616,543 . The biggest common factor number is the GCF number.
So the greatest common factor 418,616,543 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 114/418, 967/616, 971/543

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 114/418, 967/616, 971/543?

Answer: LCM of Numerators as per given numbers 114/418, 967/616, 971/543 is

LCM of Numerators i.e. for 114,967,971 is 107041098

GCF of denominators i.e. for 418,616,543 is 1.

Thus, LCM of Fractions is 107041098.Finally, LCM of Fractions for 114/418, 967/616, 971/543 is 107041098.