Least Common Multiple of 21/353, 78/827, 983/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/353, 78/827, 983/603 quickly i.e. 536718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/353, 78/827, 983/603 is 536718.

LCM(21/353, 78/827, 983/603) = 536718

LCM of 21/353, 78/827, 983/603

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 21/353,78/827,983/603

Given numbers are 21/353,78/827,983/603

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 21,78,983

Least Common Multiple of Numerators i.e. LCM of 21,78,983 is 536718.

GCF of Denominators means GCF of 353,827,603 as per the given fractions.

GCF of 353,827,603 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,78,983

LCM of Fractions 21/353,78/827,983/603 is 536718

3 21, 78, 983
7, 26, 983

∴ So the LCM of the given numbers is 3 x 7 x 26 x 983 = 536718

Least Common Multiple of 21,78,983 with GCF Formula

Least Common Multiple of 21,78,983 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 21,78,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,78,983) = 1

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

GCF(21,78,983) x common factors =1 x 3 = 3

LCM(21,78,983) = ( 21 × 78 × 983 ) / 3

LCM(21,78,983) = 1610154 / 3

LCM(21,78,983) = 536718


Lets's calculate GCF of 353,827,603

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 536718/1

Therefore the LCM of Fractions 21/353,78/827,983/603 is 536718

Greatest Common Factor of 353,827,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,827,603 By Matching Biggest Common Factor Method

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 353,827,603 . The biggest common factor number is the GCF number.
So the greatest common factor 353,827,603 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 21/353, 78/827, 983/603

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 21/353, 78/827, 983/603?

Answer: LCM of Numerators as per given numbers 21/353, 78/827, 983/603 is

LCM of Numerators i.e. for 21,78,983 is 536718

GCF of denominators i.e. for 353,827,603 is 1.

Thus, LCM of Fractions is 536718.Finally, LCM of Fractions for 21/353, 78/827, 983/603 is 536718.