Least Common Multiple of 42/84, 13/856, 979/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/84, 13/856, 979/199 quickly i.e. 534534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/84, 13/856, 979/199 is 534534.

LCM(42/84, 13/856, 979/199) = 534534

LCM of 42/84, 13/856, 979/199

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 42/84,13/856,979/199

Given numbers are 42/84,13/856,979/199

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 42,13,979

Least Common Multiple of Numerators i.e. LCM of 42,13,979 is 534534.

GCF of Denominators means GCF of 84,856,199 as per the given fractions.

GCF of 84,856,199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,13,979

LCM of Fractions 42/84,13/856,979/199 is 534534

Given numbers has no common factors except 1. So, there LCM is their product i.e 534534

Least Common Multiple of 42,13,979 with GCF Formula

Least Common Multiple of 42,13,979 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 42,13,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,13,979) = 1

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

GCF(42,13,979) x common factors =1 x 1 = 1

LCM(42,13,979) = ( 42 × 13 × 979 ) / 1

LCM(42,13,979) = 534534 / 1

LCM(42,13,979) = 534534


Lets's calculate GCF of 84,856,199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 534534/1

Therefore the LCM of Fractions 42/84,13/856,979/199 is 534534

Greatest Common Factor of 84,856,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,856,199 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 856

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

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

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 84,856,199 . The biggest common factor number is the GCF number.
So the greatest common factor 84,856,199 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 42/84, 13/856, 979/199

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 42/84, 13/856, 979/199?

Answer: LCM of Numerators as per given numbers 42/84, 13/856, 979/199 is

LCM of Numerators i.e. for 42,13,979 is 534534

GCF of denominators i.e. for 84,856,199 is 1.

Thus, LCM of Fractions is 534534.Finally, LCM of Fractions for 42/84, 13/856, 979/199 is 534534.