Least Common Multiple of 75/211, 78/927, 225/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/211, 78/927, 225/867 quickly i.e. 5850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/211, 78/927, 225/867 is 5850.

LCM(75/211, 78/927, 225/867) = 5850

LCM of 75/211, 78/927, 225/867

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 75/211,78/927,225/867

Given numbers are 75/211,78/927,225/867

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 75,78,225

Least Common Multiple of Numerators i.e. LCM of 75,78,225 is 5850.

GCF of Denominators means GCF of 211,927,867 as per the given fractions.

GCF of 211,927,867 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,78,225

LCM of Fractions 75/211,78/927,225/867 is 5850

3 75, 78, 225
5 25, 26, 75
5 5, 26, 15
1, 26, 3

∴ So the LCM of the given numbers is 3 x 5 x 5 x 1 x 26 x 3 = 5850

Least Common Multiple of 75,78,225 with GCF Formula

Least Common Multiple of 75,78,225 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 75,78,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,78,225) = 3

common factors(in case of two or more numbers have common factors) = 75

GCF(75,78,225) x common factors =3 x 75 = 225

LCM(75,78,225) = ( 75 × 78 × 225 ) / 225

LCM(75,78,225) = 1316250 / 225

LCM(75,78,225) = 5850


Lets's calculate GCF of 211,927,867

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5850/1

Therefore the LCM of Fractions 75/211,78/927,225/867 is 5850

Greatest Common Factor of 211,927,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,927,867 By Matching Biggest Common Factor Method

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 211,927,867 . The biggest common factor number is the GCF number.
So the greatest common factor 211,927,867 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 75/211, 78/927, 225/867

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 75/211, 78/927, 225/867?

Answer: LCM of Numerators as per given numbers 75/211, 78/927, 225/867 is

LCM of Numerators i.e. for 75,78,225 is 5850

GCF of denominators i.e. for 211,927,867 is 1.

Thus, LCM of Fractions is 5850.Finally, LCM of Fractions for 75/211, 78/927, 225/867 is 5850.