Least Common Multiple of 35/841, 759/140, 596/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/841, 759/140, 596/239 quickly i.e. 15832740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/841, 759/140, 596/239 is 15832740.

LCM(35/841, 759/140, 596/239) = 15832740

LCM of 35/841, 759/140, 596/239

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 35/841,759/140,596/239

Given numbers are 35/841,759/140,596/239

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 35,759,596

Least Common Multiple of Numerators i.e. LCM of 35,759,596 is 15832740.

GCF of Denominators means GCF of 841,140,239 as per the given fractions.

GCF of 841,140,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,759,596

LCM of Fractions 35/841,759/140,596/239 is 15832740

Given numbers has no common factors except 1. So, there LCM is their product i.e 15832740

Least Common Multiple of 35,759,596 with GCF Formula

Least Common Multiple of 35,759,596 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 35,759,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,759,596) = 1

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

GCF(35,759,596) x common factors =1 x 1 = 1

LCM(35,759,596) = ( 35 × 759 × 596 ) / 1

LCM(35,759,596) = 15832740 / 1

LCM(35,759,596) = 15832740


Lets's calculate GCF of 841,140,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15832740/1

Therefore the LCM of Fractions 35/841,759/140,596/239 is 15832740

Greatest Common Factor of 841,140,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 841,140,239 By Matching Biggest Common Factor Method

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 841,140,239 . The biggest common factor number is the GCF number.
So the greatest common factor 841,140,239 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 35/841, 759/140, 596/239

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 35/841, 759/140, 596/239?

Answer: LCM of Numerators as per given numbers 35/841, 759/140, 596/239 is

LCM of Numerators i.e. for 35,759,596 is 15832740

GCF of denominators i.e. for 841,140,239 is 1.

Thus, LCM of Fractions is 15832740.Finally, LCM of Fractions for 35/841, 759/140, 596/239 is 15832740.