Least Common Multiple of 100/475, 991/508, 587/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/475, 991/508, 587/272 quickly i.e. 58171700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/475, 991/508, 587/272 is 58171700.

LCM(100/475, 991/508, 587/272) = 58171700

LCM of 100/475, 991/508, 587/272

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 100/475,991/508,587/272

Given numbers are 100/475,991/508,587/272

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 100,991,587

Least Common Multiple of Numerators i.e. LCM of 100,991,587 is 58171700.

GCF of Denominators means GCF of 475,508,272 as per the given fractions.

GCF of 475,508,272 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,991,587

LCM of Fractions 100/475,991/508,587/272 is 58171700

Given numbers has no common factors except 1. So, there LCM is their product i.e 58171700

Least Common Multiple of 100,991,587 with GCF Formula

Least Common Multiple of 100,991,587 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 100,991,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,991,587) = 1

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

GCF(100,991,587) x common factors =1 x 1 = 1

LCM(100,991,587) = ( 100 × 991 × 587 ) / 1

LCM(100,991,587) = 58171700 / 1

LCM(100,991,587) = 58171700


Lets's calculate GCF of 475,508,272

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58171700/1

Therefore the LCM of Fractions 100/475,991/508,587/272 is 58171700

Greatest Common Factor of 475,508,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,508,272 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 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 475,508,272 . The biggest common factor number is the GCF number.
So the greatest common factor 475,508,272 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 100/475, 991/508, 587/272

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 100/475, 991/508, 587/272?

Answer: LCM of Numerators as per given numbers 100/475, 991/508, 587/272 is

LCM of Numerators i.e. for 100,991,587 is 58171700

GCF of denominators i.e. for 475,508,272 is 1.

Thus, LCM of Fractions is 58171700.Finally, LCM of Fractions for 100/475, 991/508, 587/272 is 58171700.