Least Common Multiple of 71/328, 99/893, 400/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/328, 99/893, 400/877 quickly i.e. 2811600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/328, 99/893, 400/877 is 2811600.

LCM(71/328, 99/893, 400/877) = 2811600

LCM of 71/328, 99/893, 400/877

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 71/328,99/893,400/877

Given numbers are 71/328,99/893,400/877

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 71,99,400

Least Common Multiple of Numerators i.e. LCM of 71,99,400 is 2811600.

GCF of Denominators means GCF of 328,893,877 as per the given fractions.

GCF of 328,893,877 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,99,400

LCM of Fractions 71/328,99/893,400/877 is 2811600

Given numbers has no common factors except 1. So, there LCM is their product i.e 2811600

Least Common Multiple of 71,99,400 with GCF Formula

Least Common Multiple of 71,99,400 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 71,99,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,99,400) = 1

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

GCF(71,99,400) x common factors =1 x 1 = 1

LCM(71,99,400) = ( 71 × 99 × 400 ) / 1

LCM(71,99,400) = 2811600 / 1

LCM(71,99,400) = 2811600


Lets's calculate GCF of 328,893,877

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2811600/1

Therefore the LCM of Fractions 71/328,99/893,400/877 is 2811600

Greatest Common Factor of 328,893,877 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,893,877 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Greatest Common Factor

We found the factors 328,893,877 . The biggest common factor number is the GCF number.
So the greatest common factor 328,893,877 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 71/328, 99/893, 400/877

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 71/328, 99/893, 400/877?

Answer: LCM of Numerators as per given numbers 71/328, 99/893, 400/877 is

LCM of Numerators i.e. for 71,99,400 is 2811600

GCF of denominators i.e. for 328,893,877 is 1.

Thus, LCM of Fractions is 2811600.Finally, LCM of Fractions for 71/328, 99/893, 400/877 is 2811600.