Least Common Multiple of 21/706, 716/780, 168/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/706, 716/780, 168/901 quickly i.e. 30072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/706, 716/780, 168/901 is 30072.

LCM(21/706, 716/780, 168/901) = 30072

LCM of 21/706, 716/780, 168/901

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 21/706,716/780,168/901

Given numbers are 21/706,716/780,168/901

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 21,716,168

Least Common Multiple of Numerators i.e. LCM of 21,716,168 is 30072.

GCF of Denominators means GCF of 706,780,901 as per the given fractions.

GCF of 706,780,901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,716,168

LCM of Fractions 21/706,716/780,168/901 is 30072

2 21, 716, 168
2 21, 358, 84
3 21, 179, 42
7 7, 179, 14
1, 179, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 179 x 2 = 30072

Least Common Multiple of 21,716,168 with GCF Formula

Least Common Multiple of 21,716,168 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 21,716,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,716,168) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(21,716,168) x common factors =1 x 84 = 84

LCM(21,716,168) = ( 21 × 716 × 168 ) / 84

LCM(21,716,168) = 2526048 / 84

LCM(21,716,168) = 30072


Lets's calculate GCF of 706,780,901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30072/1

Therefore the LCM of Fractions 21/706,716/780,168/901 is 30072

Greatest Common Factor of 706,780,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,780,901 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 706,780,901 . The biggest common factor number is the GCF number.
So the greatest common factor 706,780,901 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 21/706, 716/780, 168/901

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 21/706, 716/780, 168/901?

Answer: LCM of Numerators as per given numbers 21/706, 716/780, 168/901 is

LCM of Numerators i.e. for 21,716,168 is 30072

GCF of denominators i.e. for 706,780,901 is 1.

Thus, LCM of Fractions is 30072.Finally, LCM of Fractions for 21/706, 716/780, 168/901 is 30072.