Least Common Multiple of 239/882, 907/308, 731/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 239/882, 907/308, 731/409 quickly i.e. 158461063 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 239/882, 907/308, 731/409 is 158461063.

LCM(239/882, 907/308, 731/409) = 158461063

LCM of 239/882, 907/308, 731/409

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 239/882,907/308,731/409

Given numbers are 239/882,907/308,731/409

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 239,907,731

Least Common Multiple of Numerators i.e. LCM of 239,907,731 is 158461063.

GCF of Denominators means GCF of 882,308,409 as per the given fractions.

GCF of 882,308,409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 239,907,731

LCM of Fractions 239/882,907/308,731/409 is 158461063

Given numbers has no common factors except 1. So, there LCM is their product i.e 158461063

Least Common Multiple of 239,907,731 with GCF Formula

Least Common Multiple of 239,907,731 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 239,907,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,907,731) = 1

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

GCF(239,907,731) x common factors =1 x 1 = 1

LCM(239,907,731) = ( 239 × 907 × 731 ) / 1

LCM(239,907,731) = 158461063 / 1

LCM(239,907,731) = 158461063


Lets's calculate GCF of 882,308,409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158461063/1

Therefore the LCM of Fractions 239/882,907/308,731/409 is 158461063

Greatest Common Factor of 882,308,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,308,409 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 882,308,409 . The biggest common factor number is the GCF number.
So the greatest common factor 882,308,409 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 239/882, 907/308, 731/409

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 239/882, 907/308, 731/409?

Answer: LCM of Numerators as per given numbers 239/882, 907/308, 731/409 is

LCM of Numerators i.e. for 239,907,731 is 158461063

GCF of denominators i.e. for 882,308,409 is 1.

Thus, LCM of Fractions is 158461063.Finally, LCM of Fractions for 239/882, 907/308, 731/409 is 158461063.