Least Common Multiple of 904/89, 759/7042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 904/89, 759/7042 quickly i.e. 686136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/89, 759/7042 is 686136.

LCM(904/89, 759/7042) = 686136

LCM of 904/89, 759/7042

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 904/89,759/7042

Given numbers are 904/89,759/7042

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 904,759

Least Common Multiple of Numerators i.e. LCM of 904,759 is 686136.

GCF of Denominators means GCF of 89,7042 as per the given fractions.

GCF of 89,7042 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,759

LCM of Fractions 904/89,759/7042 is 686136

Given numbers has no common factors except 1. So, there LCM is their product i.e 686136

Least Common Multiple of 904,759 with GCF Formula

Least Common Multiple of 904,759 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 904,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,759) = 1

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

GCF(904,759) x common factors =1 x 1 = 1

LCM(904,759) = ( 904 × 759 ) / 1

LCM(904,759) = 686136 / 1

LCM(904,759) = 686136


Lets's calculate GCF of 89,7042

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 686136/1

Therefore the LCM of Fractions 904/89,759/7042 is 686136

Greatest Common Factor of 89,7042 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,7042 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 7042

List of positive integer factors of 7042 that divides 7042 without a remainder.

1,2,7,14,503,1006,3521,7042

Greatest Common Factor

We found the factors 89,7042 . The biggest common factor number is the GCF number.
So the greatest common factor 89,7042 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 904/89, 759/7042

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 904/89, 759/7042?

Answer: LCM of Numerators as per given numbers 904/89, 759/7042 is

LCM of Numerators i.e. for 904,759 is 686136

GCF of denominators i.e. for 89,7042 is 1.

Thus, LCM of Fractions is 686136.Finally, LCM of Fractions for 904/89, 759/7042 is 686136.