Least Common Multiple of 80/475, 899/123, 899/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/475, 899/123, 899/991 quickly i.e. 71920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/475, 899/123, 899/991 is 71920.

LCM(80/475, 899/123, 899/991) = 71920

LCM of 80/475, 899/123, 899/991

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 80/475,899/123,899/991

Given numbers are 80/475,899/123,899/991

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 80,899,899

Least Common Multiple of Numerators i.e. LCM of 80,899,899 is 71920.

GCF of Denominators means GCF of 475,123,991 as per the given fractions.

GCF of 475,123,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,899,899

LCM of Fractions 80/475,899/123,899/991 is 71920

29 80, 899, 899
31 80, 31, 31
80, 1, 1

∴ So the LCM of the given numbers is 29 x 31 x 80 x 1 x 1 = 71920

Least Common Multiple of 80,899,899 with GCF Formula

Least Common Multiple of 80,899,899 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 80,899,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,899,899) = 1

common factors(in case of two or more numbers have common factors) = 899

GCF(80,899,899) x common factors =1 x 899 = 899

LCM(80,899,899) = ( 80 × 899 × 899 ) / 899

LCM(80,899,899) = 64656080 / 899

LCM(80,899,899) = 71920


Lets's calculate GCF of 475,123,991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71920/1

Therefore the LCM of Fractions 80/475,899/123,899/991 is 71920

Greatest Common Factor of 475,123,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,123,991 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 475,123,991 . The biggest common factor number is the GCF number.
So the greatest common factor 475,123,991 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 80/475, 899/123, 899/991

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 80/475, 899/123, 899/991?

Answer: LCM of Numerators as per given numbers 80/475, 899/123, 899/991 is

LCM of Numerators i.e. for 80,899,899 is 71920

GCF of denominators i.e. for 475,123,991 is 1.

Thus, LCM of Fractions is 71920.Finally, LCM of Fractions for 80/475, 899/123, 899/991 is 71920.