Least Common Multiple of 182/597, 131/824, 505/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 182/597, 131/824, 505/940 quickly i.e. 12040210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 182/597, 131/824, 505/940 is 12040210.

LCM(182/597, 131/824, 505/940) = 12040210

LCM of 182/597, 131/824, 505/940

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 182/597,131/824,505/940

Given numbers are 182/597,131/824,505/940

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 182,131,505

Least Common Multiple of Numerators i.e. LCM of 182,131,505 is 12040210.

GCF of Denominators means GCF of 597,824,940 as per the given fractions.

GCF of 597,824,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 182,131,505

LCM of Fractions 182/597,131/824,505/940 is 12040210

Given numbers has no common factors except 1. So, there LCM is their product i.e 12040210

Least Common Multiple of 182,131,505 with GCF Formula

Least Common Multiple of 182,131,505 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 182,131,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,131,505) = 1

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

GCF(182,131,505) x common factors =1 x 1 = 1

LCM(182,131,505) = ( 182 × 131 × 505 ) / 1

LCM(182,131,505) = 12040210 / 1

LCM(182,131,505) = 12040210


Lets's calculate GCF of 597,824,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12040210/1

Therefore the LCM of Fractions 182/597,131/824,505/940 is 12040210

Greatest Common Factor of 597,824,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,824,940 By Matching Biggest Common Factor Method

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 597,824,940 . The biggest common factor number is the GCF number.
So the greatest common factor 597,824,940 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 182/597, 131/824, 505/940

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 182/597, 131/824, 505/940?

Answer: LCM of Numerators as per given numbers 182/597, 131/824, 505/940 is

LCM of Numerators i.e. for 182,131,505 is 12040210

GCF of denominators i.e. for 597,824,940 is 1.

Thus, LCM of Fractions is 12040210.Finally, LCM of Fractions for 182/597, 131/824, 505/940 is 12040210.