Least Common Multiple of 75/111, 89/663, 294/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/111, 89/663, 294/977 quickly i.e. 654150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/111, 89/663, 294/977 is 654150.

LCM(75/111, 89/663, 294/977) = 654150

LCM of 75/111, 89/663, 294/977

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 75/111,89/663,294/977

Given numbers are 75/111,89/663,294/977

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 75,89,294

Least Common Multiple of Numerators i.e. LCM of 75,89,294 is 654150.

GCF of Denominators means GCF of 111,663,977 as per the given fractions.

GCF of 111,663,977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,89,294

LCM of Fractions 75/111,89/663,294/977 is 654150

3 75, 89, 294
25, 89, 98

∴ So the LCM of the given numbers is 3 x 25 x 89 x 98 = 654150

Least Common Multiple of 75,89,294 with GCF Formula

Least Common Multiple of 75,89,294 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 75,89,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,89,294) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,89,294) x common factors =1 x 3 = 3

LCM(75,89,294) = ( 75 × 89 × 294 ) / 3

LCM(75,89,294) = 1962450 / 3

LCM(75,89,294) = 654150


Lets's calculate GCF of 111,663,977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 654150/1

Therefore the LCM of Fractions 75/111,89/663,294/977 is 654150

Greatest Common Factor of 111,663,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,663,977 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 111,663,977 . The biggest common factor number is the GCF number.
So the greatest common factor 111,663,977 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 75/111, 89/663, 294/977

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 75/111, 89/663, 294/977?

Answer: LCM of Numerators as per given numbers 75/111, 89/663, 294/977 is

LCM of Numerators i.e. for 75,89,294 is 654150

GCF of denominators i.e. for 111,663,977 is 1.

Thus, LCM of Fractions is 654150.Finally, LCM of Fractions for 75/111, 89/663, 294/977 is 654150.