Least Common Multiple of 6839/741, 7756/4720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6839/741, 7756/4720 quickly i.e. 7577612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6839/741, 7756/4720 is 7577612.

LCM(6839/741, 7756/4720) = 7577612

LCM of 6839/741, 7756/4720

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 6839/741,7756/4720

Given numbers are 6839/741,7756/4720

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 6839,7756

Least Common Multiple of Numerators i.e. LCM of 6839,7756 is 7577612.

GCF of Denominators means GCF of 741,4720 as per the given fractions.

GCF of 741,4720 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6839,7756

LCM of Fractions 6839/741,7756/4720 is 7577612

7 6839, 7756
977, 1108

∴ So the LCM of the given numbers is 7 x 977 x 1108 = 7577612

Least Common Multiple of 6839,7756 with GCF Formula

Least Common Multiple of 6839,7756 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 6839,7756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6839,7756) = 7

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

GCF(6839,7756) x common factors =7 x 1 = 7

LCM(6839,7756) = ( 6839 × 7756 ) / 7

LCM(6839,7756) = 53043284 / 7

LCM(6839,7756) = 7577612


Lets's calculate GCF of 741,4720

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7577612/1

Therefore the LCM of Fractions 6839/741,7756/4720 is 7577612

Greatest Common Factor of 741,4720 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,4720 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 4720

List of positive integer factors of 4720 that divides 4720 without a remainder.

1,2,4,5,8,10,16,20,40,59,80,118,236,295,472,590,944,1180,2360,4720

Greatest Common Factor

We found the factors 741,4720 . The biggest common factor number is the GCF number.
So the greatest common factor 741,4720 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 6839/741, 7756/4720

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 6839/741, 7756/4720?

Answer: LCM of Numerators as per given numbers 6839/741, 7756/4720 is

LCM of Numerators i.e. for 6839,7756 is 7577612

GCF of denominators i.e. for 741,4720 is 1.

Thus, LCM of Fractions is 7577612.Finally, LCM of Fractions for 6839/741, 7756/4720 is 7577612.