Least Common Multiple of 21/70, 10/315, 716/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/70, 10/315, 716/673 quickly i.e. 75180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/70, 10/315, 716/673 is 75180.

LCM(21/70, 10/315, 716/673) = 75180

LCM of 21/70, 10/315, 716/673

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 21/70,10/315,716/673

Given numbers are 21/70,10/315,716/673

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 21,10,716

Least Common Multiple of Numerators i.e. LCM of 21,10,716 is 75180.

GCF of Denominators means GCF of 70,315,673 as per the given fractions.

GCF of 70,315,673 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,10,716

LCM of Fractions 21/70,10/315,716/673 is 75180

2 21, 10, 716
21, 5, 358

∴ So the LCM of the given numbers is 2 x 21 x 5 x 358 = 75180

Least Common Multiple of 21,10,716 with GCF Formula

Least Common Multiple of 21,10,716 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 21,10,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,10,716) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(21,10,716) x common factors =1 x 2 = 2

LCM(21,10,716) = ( 21 × 10 × 716 ) / 2

LCM(21,10,716) = 150360 / 2

LCM(21,10,716) = 75180


Lets's calculate GCF of 70,315,673

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75180/1

Therefore the LCM of Fractions 21/70,10/315,716/673 is 75180

Greatest Common Factor of 70,315,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,315,673 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Greatest Common Factor

We found the factors 70,315,673 . The biggest common factor number is the GCF number.
So the greatest common factor 70,315,673 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 21/70, 10/315, 716/673

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 21/70, 10/315, 716/673?

Answer: LCM of Numerators as per given numbers 21/70, 10/315, 716/673 is

LCM of Numerators i.e. for 21,10,716 is 75180

GCF of denominators i.e. for 70,315,673 is 1.

Thus, LCM of Fractions is 75180.Finally, LCM of Fractions for 21/70, 10/315, 716/673 is 75180.