Least Common Multiple of 87/16, 821/89, 453/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/16, 821/89, 453/956 quickly i.e. 10785477 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/16, 821/89, 453/956 is 10785477.

LCM(87/16, 821/89, 453/956) = 10785477

LCM of 87/16, 821/89, 453/956

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 87/16,821/89,453/956

Given numbers are 87/16,821/89,453/956

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 87,821,453

Least Common Multiple of Numerators i.e. LCM of 87,821,453 is 10785477.

GCF of Denominators means GCF of 16,89,956 as per the given fractions.

GCF of 16,89,956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,821,453

LCM of Fractions 87/16,821/89,453/956 is 10785477

3 87, 821, 453
29, 821, 151

∴ So the LCM of the given numbers is 3 x 29 x 821 x 151 = 10785477

Least Common Multiple of 87,821,453 with GCF Formula

Least Common Multiple of 87,821,453 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 87,821,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,821,453) = 1

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

GCF(87,821,453) x common factors =1 x 3 = 3

LCM(87,821,453) = ( 87 × 821 × 453 ) / 3

LCM(87,821,453) = 32356431 / 3

LCM(87,821,453) = 10785477


Lets's calculate GCF of 16,89,956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10785477/1

Therefore the LCM of Fractions 87/16,821/89,453/956 is 10785477

Greatest Common Factor of 16,89,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,89,956 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 16,89,956 . The biggest common factor number is the GCF number.
So the greatest common factor 16,89,956 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 87/16, 821/89, 453/956

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 87/16, 821/89, 453/956?

Answer: LCM of Numerators as per given numbers 87/16, 821/89, 453/956 is

LCM of Numerators i.e. for 87,821,453 is 10785477

GCF of denominators i.e. for 16,89,956 is 1.

Thus, LCM of Fractions is 10785477.Finally, LCM of Fractions for 87/16, 821/89, 453/956 is 10785477.