Least Common Multiple of 21/746, 1962/4614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/746, 1962/4614 quickly i.e. 6867 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/746, 1962/4614 is 6867.

LCM(21/746, 1962/4614) = 6867

LCM of 21/746, 1962/4614

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 21/746,1962/4614

Given numbers are 21/746,1962/4614

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 21,1962

Least Common Multiple of Numerators i.e. LCM of 21,1962 is 13734.

GCF of Denominators means GCF of 746,4614 as per the given fractions.

GCF of 746,4614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,1962

LCM of Fractions 21/746,1962/4614 is 6867

3 21, 1962
7, 654

∴ So the LCM of the given numbers is 3 x 7 x 654 = 13734

Least Common Multiple of 21,1962 with GCF Formula

Least Common Multiple of 21,1962 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 21,1962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,1962) = 3

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

GCF(21,1962) x common factors =3 x 1 = 3

LCM(21,1962) = ( 21 × 1962 ) / 3

LCM(21,1962) = 41202 / 3

LCM(21,1962) = 13734


Lets's calculate GCF of 746,4614

2 746, 4614
373, 2307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13734/2

Therefore the LCM of Fractions 21/746,1962/4614 is 6867

Greatest Common Factor of 746,4614 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,4614 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 4614

List of positive integer factors of 4614 that divides 4614 without a remainder.

1,2,3,6,769,1538,2307,4614

Greatest Common Factor

We found the factors 746,4614 . The biggest common factor number is the GCF number.
So the greatest common factor 746,4614 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 21/746, 1962/4614

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 21/746, 1962/4614?

Answer: LCM of Numerators as per given numbers 21/746, 1962/4614 is

LCM of Numerators i.e. for 21,1962 is 13734

GCF of denominators i.e. for 746,4614 is 2.

Thus, LCM of Fractions is 6867.Finally, LCM of Fractions for 21/746, 1962/4614 is 6867.