Least Common Multiple of 21/426, 6056/7038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/426, 6056/7038 quickly i.e. 21196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/426, 6056/7038 is 21196.

LCM(21/426, 6056/7038) = 21196

LCM of 21/426, 6056/7038

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 21/426,6056/7038

Given numbers are 21/426,6056/7038

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 21,6056

Least Common Multiple of Numerators i.e. LCM of 21,6056 is 127176.

GCF of Denominators means GCF of 426,7038 as per the given fractions.

GCF of 426,7038 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,6056

LCM of Fractions 21/426,6056/7038 is 21196

Given numbers has no common factors except 1. So, there LCM is their product i.e 127176

Least Common Multiple of 21,6056 with GCF Formula

Least Common Multiple of 21,6056 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 21,6056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,6056) = 1

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

GCF(21,6056) x common factors =1 x 1 = 1

LCM(21,6056) = ( 21 × 6056 ) / 1

LCM(21,6056) = 127176 / 1

LCM(21,6056) = 127176


Lets's calculate GCF of 426,7038

2 426, 7038
3 213, 3519
71, 1173

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127176/6

Therefore the LCM of Fractions 21/426,6056/7038 is 21196

Greatest Common Factor of 426,7038 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,7038 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 7038

List of positive integer factors of 7038 that divides 7038 without a remainder.

1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038

Greatest Common Factor

We found the factors 426,7038 . The biggest common factor number is the GCF number.
So the greatest common factor 426,7038 is 6.


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 21/426, 6056/7038

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 21/426, 6056/7038?

Answer: LCM of Numerators as per given numbers 21/426, 6056/7038 is

LCM of Numerators i.e. for 21,6056 is 127176

GCF of denominators i.e. for 426,7038 is 6.

Thus, LCM of Fractions is 21196.Finally, LCM of Fractions for 21/426, 6056/7038 is 21196.