Least Common Multiple of 239/728, 634/158, 430/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 239/728, 634/158, 430/599 quickly i.e. 32578090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 239/728, 634/158, 430/599 is 32578090.

LCM(239/728, 634/158, 430/599) = 32578090

LCM of 239/728, 634/158, 430/599

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 239/728,634/158,430/599

Given numbers are 239/728,634/158,430/599

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 239,634,430

Least Common Multiple of Numerators i.e. LCM of 239,634,430 is 32578090.

GCF of Denominators means GCF of 728,158,599 as per the given fractions.

GCF of 728,158,599 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 239,634,430

LCM of Fractions 239/728,634/158,430/599 is 32578090

2 239, 634, 430
239, 317, 215

∴ So the LCM of the given numbers is 2 x 239 x 317 x 215 = 32578090

Least Common Multiple of 239,634,430 with GCF Formula

Least Common Multiple of 239,634,430 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 239,634,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,634,430) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(239,634,430) x common factors =1 x 2 = 2

LCM(239,634,430) = ( 239 × 634 × 430 ) / 2

LCM(239,634,430) = 65156180 / 2

LCM(239,634,430) = 32578090


Lets's calculate GCF of 728,158,599

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32578090/1

Therefore the LCM of Fractions 239/728,634/158,430/599 is 32578090

Greatest Common Factor of 728,158,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,158,599 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors 728,158,599 . The biggest common factor number is the GCF number.
So the greatest common factor 728,158,599 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 239/728, 634/158, 430/599

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 239/728, 634/158, 430/599?

Answer: LCM of Numerators as per given numbers 239/728, 634/158, 430/599 is

LCM of Numerators i.e. for 239,634,430 is 32578090

GCF of denominators i.e. for 728,158,599 is 1.

Thus, LCM of Fractions is 32578090.Finally, LCM of Fractions for 239/728, 634/158, 430/599 is 32578090.