Least Common Multiple of 100/75, 867/4474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/75, 867/4474 quickly i.e. 86700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/75, 867/4474 is 86700.

LCM(100/75, 867/4474) = 86700

LCM of 100/75, 867/4474

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 100/75,867/4474

Given numbers are 100/75,867/4474

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 100,867

Least Common Multiple of Numerators i.e. LCM of 100,867 is 86700.

GCF of Denominators means GCF of 75,4474 as per the given fractions.

GCF of 75,4474 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,867

LCM of Fractions 100/75,867/4474 is 86700

Given numbers has no common factors except 1. So, there LCM is their product i.e 86700

Least Common Multiple of 100,867 with GCF Formula

Least Common Multiple of 100,867 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 100,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,867) = 1

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

GCF(100,867) x common factors =1 x 1 = 1

LCM(100,867) = ( 100 × 867 ) / 1

LCM(100,867) = 86700 / 1

LCM(100,867) = 86700


Lets's calculate GCF of 75,4474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86700/1

Therefore the LCM of Fractions 100/75,867/4474 is 86700

Greatest Common Factor of 75,4474 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,4474 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 4474

List of positive integer factors of 4474 that divides 4474 without a remainder.

1,2,2237,4474

Greatest Common Factor

We found the factors 75,4474 . The biggest common factor number is the GCF number.
So the greatest common factor 75,4474 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 100/75, 867/4474

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 100/75, 867/4474?

Answer: LCM of Numerators as per given numbers 100/75, 867/4474 is

LCM of Numerators i.e. for 100,867 is 86700

GCF of denominators i.e. for 75,4474 is 1.

Thus, LCM of Fractions is 86700.Finally, LCM of Fractions for 100/75, 867/4474 is 86700.