Least Common Multiple of 21/674, 4006/8754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/674, 4006/8754 quickly i.e. 42063 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/674, 4006/8754 is 42063.

LCM(21/674, 4006/8754) = 42063

LCM of 21/674, 4006/8754

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 21/674,4006/8754

Given numbers are 21/674,4006/8754

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 21,4006

Least Common Multiple of Numerators i.e. LCM of 21,4006 is 84126.

GCF of Denominators means GCF of 674,8754 as per the given fractions.

GCF of 674,8754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,4006

LCM of Fractions 21/674,4006/8754 is 42063

Given numbers has no common factors except 1. So, there LCM is their product i.e 84126

Least Common Multiple of 21,4006 with GCF Formula

Least Common Multiple of 21,4006 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 21,4006 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,4006) = 1

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

GCF(21,4006) x common factors =1 x 1 = 1

LCM(21,4006) = ( 21 × 4006 ) / 1

LCM(21,4006) = 84126 / 1

LCM(21,4006) = 84126


Lets's calculate GCF of 674,8754

2 674, 8754
337, 4377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84126/2

Therefore the LCM of Fractions 21/674,4006/8754 is 42063

Greatest Common Factor of 674,8754 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,8754 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 8754

List of positive integer factors of 8754 that divides 8754 without a remainder.

1,2,3,6,1459,2918,4377,8754

Greatest Common Factor

We found the factors 674,8754 . The biggest common factor number is the GCF number.
So the greatest common factor 674,8754 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 21/674, 4006/8754

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 21/674, 4006/8754?

Answer: LCM of Numerators as per given numbers 21/674, 4006/8754 is

LCM of Numerators i.e. for 21,4006 is 84126

GCF of denominators i.e. for 674,8754 is 2.

Thus, LCM of Fractions is 42063.Finally, LCM of Fractions for 21/674, 4006/8754 is 42063.