Least Common Multiple of 501/326, 135/813, 595/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/326, 135/813, 595/178 quickly i.e. 2682855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/326, 135/813, 595/178 is 2682855.

LCM(501/326, 135/813, 595/178) = 2682855

LCM of 501/326, 135/813, 595/178

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 501/326,135/813,595/178

Given numbers are 501/326,135/813,595/178

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 501,135,595

Least Common Multiple of Numerators i.e. LCM of 501,135,595 is 2682855.

GCF of Denominators means GCF of 326,813,178 as per the given fractions.

GCF of 326,813,178 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,135,595

LCM of Fractions 501/326,135/813,595/178 is 2682855

3 501, 135, 595
5 167, 45, 595
167, 9, 119

∴ So the LCM of the given numbers is 3 x 5 x 167 x 9 x 119 = 2682855

Least Common Multiple of 501,135,595 with GCF Formula

Least Common Multiple of 501,135,595 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 501,135,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,135,595) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(501,135,595) x common factors =1 x 15 = 15

LCM(501,135,595) = ( 501 × 135 × 595 ) / 15

LCM(501,135,595) = 40242825 / 15

LCM(501,135,595) = 2682855


Lets's calculate GCF of 326,813,178

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2682855/1

Therefore the LCM of Fractions 501/326,135/813,595/178 is 2682855

Greatest Common Factor of 326,813,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,813,178 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 326,813,178 . The biggest common factor number is the GCF number.
So the greatest common factor 326,813,178 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 501/326, 135/813, 595/178

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 501/326, 135/813, 595/178?

Answer: LCM of Numerators as per given numbers 501/326, 135/813, 595/178 is

LCM of Numerators i.e. for 501,135,595 is 2682855

GCF of denominators i.e. for 326,813,178 is 1.

Thus, LCM of Fractions is 2682855.Finally, LCM of Fractions for 501/326, 135/813, 595/178 is 2682855.