Least Common Multiple of 21/963, 81/103, 941/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 21/963, 81/103, 941/202 quickly i.e. 533547 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/963, 81/103, 941/202 is 533547.

LCM(21/963, 81/103, 941/202) = 533547

LCM of 21/963, 81/103, 941/202

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 21/963,81/103,941/202

Given numbers are 21/963,81/103,941/202

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 21,81,941

Least Common Multiple of Numerators i.e. LCM of 21,81,941 is 533547.

GCF of Denominators means GCF of 963,103,202 as per the given fractions.

GCF of 963,103,202 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,81,941

LCM of Fractions 21/963,81/103,941/202 is 533547

3 21, 81, 941
7, 27, 941

∴ So the LCM of the given numbers is 3 x 7 x 27 x 941 = 533547

Least Common Multiple of 21,81,941 with GCF Formula

Least Common Multiple of 21,81,941 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 21,81,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,81,941) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,81,941) x common factors =1 x 3 = 3

LCM(21,81,941) = ( 21 × 81 × 941 ) / 3

LCM(21,81,941) = 1600641 / 3

LCM(21,81,941) = 533547


Lets's calculate GCF of 963,103,202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 533547/1

Therefore the LCM of Fractions 21/963,81/103,941/202 is 533547

Greatest Common Factor of 963,103,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 963,103,202 By Matching Biggest Common Factor Method

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 963,103,202 . The biggest common factor number is the GCF number.
So the greatest common factor 963,103,202 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 21/963, 81/103, 941/202

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 21/963, 81/103, 941/202?

Answer: LCM of Numerators as per given numbers 21/963, 81/103, 941/202 is

LCM of Numerators i.e. for 21,81,941 is 533547

GCF of denominators i.e. for 963,103,202 is 1.

Thus, LCM of Fractions is 533547.Finally, LCM of Fractions for 21/963, 81/103, 941/202 is 533547.