Least Common Multiple of 716/821, 507/152, 949/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 716/821, 507/152, 949/141 quickly i.e. 26499876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 716/821, 507/152, 949/141 is 26499876.

LCM(716/821, 507/152, 949/141) = 26499876

LCM of 716/821, 507/152, 949/141

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 716/821,507/152,949/141

Given numbers are 716/821,507/152,949/141

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 716,507,949

Least Common Multiple of Numerators i.e. LCM of 716,507,949 is 26499876.

GCF of Denominators means GCF of 821,152,141 as per the given fractions.

GCF of 821,152,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 716,507,949

LCM of Fractions 716/821,507/152,949/141 is 26499876

13 716, 507, 949
716, 39, 73

∴ So the LCM of the given numbers is 13 x 716 x 39 x 73 = 26499876

Least Common Multiple of 716,507,949 with GCF Formula

Least Common Multiple of 716,507,949 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 716,507,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,507,949) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(716,507,949) x common factors =1 x 13 = 13

LCM(716,507,949) = ( 716 × 507 × 949 ) / 13

LCM(716,507,949) = 344498388 / 13

LCM(716,507,949) = 26499876


Lets's calculate GCF of 821,152,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26499876/1

Therefore the LCM of Fractions 716/821,507/152,949/141 is 26499876

Greatest Common Factor of 821,152,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,152,141 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 821,152,141 . The biggest common factor number is the GCF number.
So the greatest common factor 821,152,141 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 716/821, 507/152, 949/141

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 716/821, 507/152, 949/141?

Answer: LCM of Numerators as per given numbers 716/821, 507/152, 949/141 is

LCM of Numerators i.e. for 716,507,949 is 26499876

GCF of denominators i.e. for 821,152,141 is 1.

Thus, LCM of Fractions is 26499876.Finally, LCM of Fractions for 716/821, 507/152, 949/141 is 26499876.