Least Common Multiple of 839/772, 1836/8740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 839/772, 1836/8740 quickly i.e. 385101 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 839/772, 1836/8740 is 385101.

LCM(839/772, 1836/8740) = 385101

LCM of 839/772, 1836/8740

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 839/772,1836/8740

Given numbers are 839/772,1836/8740

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 839,1836

Least Common Multiple of Numerators i.e. LCM of 839,1836 is 1540404.

GCF of Denominators means GCF of 772,8740 as per the given fractions.

GCF of 772,8740 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 839,1836

LCM of Fractions 839/772,1836/8740 is 385101

Given numbers has no common factors except 1. So, there LCM is their product i.e 1540404

Least Common Multiple of 839,1836 with GCF Formula

Least Common Multiple of 839,1836 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 839,1836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,1836) = 1

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

GCF(839,1836) x common factors =1 x 1 = 1

LCM(839,1836) = ( 839 × 1836 ) / 1

LCM(839,1836) = 1540404 / 1

LCM(839,1836) = 1540404


Lets's calculate GCF of 772,8740

2 772, 8740
2 386, 4370
193, 2185

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1540404/4

Therefore the LCM of Fractions 839/772,1836/8740 is 385101

Greatest Common Factor of 772,8740 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,8740 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 8740

List of positive integer factors of 8740 that divides 8740 without a remainder.

1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740

Greatest Common Factor

We found the factors 772,8740 . The biggest common factor number is the GCF number.
So the greatest common factor 772,8740 is 4.


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 839/772, 1836/8740

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 839/772, 1836/8740?

Answer: LCM of Numerators as per given numbers 839/772, 1836/8740 is

LCM of Numerators i.e. for 839,1836 is 1540404

GCF of denominators i.e. for 772,8740 is 4.

Thus, LCM of Fractions is 385101.Finally, LCM of Fractions for 839/772, 1836/8740 is 385101.