Least Common Multiple of 21/17, 761/84, 844/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/17, 761/84, 844/868 quickly i.e. 13487964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/17, 761/84, 844/868 is 13487964.

LCM(21/17, 761/84, 844/868) = 13487964

LCM of 21/17, 761/84, 844/868

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 21/17,761/84,844/868

Given numbers are 21/17,761/84,844/868

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 21,761,844

Least Common Multiple of Numerators i.e. LCM of 21,761,844 is 13487964.

GCF of Denominators means GCF of 17,84,868 as per the given fractions.

GCF of 17,84,868 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,761,844

LCM of Fractions 21/17,761/84,844/868 is 13487964

Given numbers has no common factors except 1. So, there LCM is their product i.e 13487964

Least Common Multiple of 21,761,844 with GCF Formula

Least Common Multiple of 21,761,844 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 21,761,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,761,844) = 1

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

GCF(21,761,844) x common factors =1 x 1 = 1

LCM(21,761,844) = ( 21 × 761 × 844 ) / 1

LCM(21,761,844) = 13487964 / 1

LCM(21,761,844) = 13487964


Lets's calculate GCF of 17,84,868

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13487964/1

Therefore the LCM of Fractions 21/17,761/84,844/868 is 13487964

Greatest Common Factor of 17,84,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,84,868 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 17,84,868 . The biggest common factor number is the GCF number.
So the greatest common factor 17,84,868 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 21/17, 761/84, 844/868

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 21/17, 761/84, 844/868?

Answer: LCM of Numerators as per given numbers 21/17, 761/84, 844/868 is

LCM of Numerators i.e. for 21,761,844 is 13487964

GCF of denominators i.e. for 17,84,868 is 1.

Thus, LCM of Fractions is 13487964.Finally, LCM of Fractions for 21/17, 761/84, 844/868 is 13487964.