Least Common Multiple of 75/396, 58/247, 169/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/396, 58/247, 169/579 quickly i.e. 735150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/396, 58/247, 169/579 is 735150.

LCM(75/396, 58/247, 169/579) = 735150

LCM of 75/396, 58/247, 169/579

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 75/396,58/247,169/579

Given numbers are 75/396,58/247,169/579

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 75,58,169

Least Common Multiple of Numerators i.e. LCM of 75,58,169 is 735150.

GCF of Denominators means GCF of 396,247,579 as per the given fractions.

GCF of 396,247,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,58,169

LCM of Fractions 75/396,58/247,169/579 is 735150

Given numbers has no common factors except 1. So, there LCM is their product i.e 735150

Least Common Multiple of 75,58,169 with GCF Formula

Least Common Multiple of 75,58,169 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 75,58,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,58,169) = 1

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

GCF(75,58,169) x common factors =1 x 1 = 1

LCM(75,58,169) = ( 75 × 58 × 169 ) / 1

LCM(75,58,169) = 735150 / 1

LCM(75,58,169) = 735150


Lets's calculate GCF of 396,247,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 735150/1

Therefore the LCM of Fractions 75/396,58/247,169/579 is 735150

Greatest Common Factor of 396,247,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,247,579 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 396,247,579 . The biggest common factor number is the GCF number.
So the greatest common factor 396,247,579 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 75/396, 58/247, 169/579

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 75/396, 58/247, 169/579?

Answer: LCM of Numerators as per given numbers 75/396, 58/247, 169/579 is

LCM of Numerators i.e. for 75,58,169 is 735150

GCF of denominators i.e. for 396,247,579 is 1.

Thus, LCM of Fractions is 735150.Finally, LCM of Fractions for 75/396, 58/247, 169/579 is 735150.