Least Common Multiple of 75/306, 98/735, 364/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/306, 98/735, 364/731 quickly i.e. 191100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/306, 98/735, 364/731 is 191100.

LCM(75/306, 98/735, 364/731) = 191100

LCM of 75/306, 98/735, 364/731

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 75/306,98/735,364/731

Given numbers are 75/306,98/735,364/731

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 75,98,364

Least Common Multiple of Numerators i.e. LCM of 75,98,364 is 191100.

GCF of Denominators means GCF of 306,735,731 as per the given fractions.

GCF of 306,735,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,98,364

LCM of Fractions 75/306,98/735,364/731 is 191100

2 75, 98, 364
7 75, 49, 182
75, 7, 26

∴ So the LCM of the given numbers is 2 x 7 x 75 x 7 x 26 = 191100

Least Common Multiple of 75,98,364 with GCF Formula

Least Common Multiple of 75,98,364 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 75,98,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,98,364) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(75,98,364) x common factors =1 x 14 = 14

LCM(75,98,364) = ( 75 × 98 × 364 ) / 14

LCM(75,98,364) = 2675400 / 14

LCM(75,98,364) = 191100


Lets's calculate GCF of 306,735,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191100/1

Therefore the LCM of Fractions 75/306,98/735,364/731 is 191100

Greatest Common Factor of 306,735,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,735,731 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 306,735,731 . The biggest common factor number is the GCF number.
So the greatest common factor 306,735,731 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 75/306, 98/735, 364/731

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 75/306, 98/735, 364/731?

Answer: LCM of Numerators as per given numbers 75/306, 98/735, 364/731 is

LCM of Numerators i.e. for 75,98,364 is 191100

GCF of denominators i.e. for 306,735,731 is 1.

Thus, LCM of Fractions is 191100.Finally, LCM of Fractions for 75/306, 98/735, 364/731 is 191100.