Least Common Multiple of 75/49, 50/476, 918/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/49, 50/476, 918/985 quickly i.e. 22950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/49, 50/476, 918/985 is 22950.

LCM(75/49, 50/476, 918/985) = 22950

LCM of 75/49, 50/476, 918/985

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 75/49,50/476,918/985

Given numbers are 75/49,50/476,918/985

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 75,50,918

Least Common Multiple of Numerators i.e. LCM of 75,50,918 is 22950.

GCF of Denominators means GCF of 49,476,985 as per the given fractions.

GCF of 49,476,985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,50,918

LCM of Fractions 75/49,50/476,918/985 is 22950

2 75, 50, 918
3 75, 25, 459
5 25, 25, 153
5 5, 5, 153
1, 1, 153

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 1 x 1 x 153 = 22950

Least Common Multiple of 75,50,918 with GCF Formula

Least Common Multiple of 75,50,918 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 75,50,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,50,918) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(75,50,918) x common factors =1 x 150 = 150

LCM(75,50,918) = ( 75 × 50 × 918 ) / 150

LCM(75,50,918) = 3442500 / 150

LCM(75,50,918) = 22950


Lets's calculate GCF of 49,476,985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22950/1

Therefore the LCM of Fractions 75/49,50/476,918/985 is 22950

Greatest Common Factor of 49,476,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,476,985 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 49,476,985 . The biggest common factor number is the GCF number.
So the greatest common factor 49,476,985 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 75/49, 50/476, 918/985

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 75/49, 50/476, 918/985?

Answer: LCM of Numerators as per given numbers 75/49, 50/476, 918/985 is

LCM of Numerators i.e. for 75,50,918 is 22950

GCF of denominators i.e. for 49,476,985 is 1.

Thus, LCM of Fractions is 22950.Finally, LCM of Fractions for 75/49, 50/476, 918/985 is 22950.