Least Common Multiple of 6825/379, 8441/4930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6825/379, 8441/4930 quickly i.e. 57609825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6825/379, 8441/4930 is 57609825.

LCM(6825/379, 8441/4930) = 57609825

LCM of 6825/379, 8441/4930

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 6825/379,8441/4930

Given numbers are 6825/379,8441/4930

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 6825,8441

Least Common Multiple of Numerators i.e. LCM of 6825,8441 is 57609825.

GCF of Denominators means GCF of 379,4930 as per the given fractions.

GCF of 379,4930 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6825,8441

LCM of Fractions 6825/379,8441/4930 is 57609825

Given numbers has no common factors except 1. So, there LCM is their product i.e 57609825

Least Common Multiple of 6825,8441 with GCF Formula

Least Common Multiple of 6825,8441 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 6825,8441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6825,8441) = 1

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

GCF(6825,8441) x common factors =1 x 1 = 1

LCM(6825,8441) = ( 6825 × 8441 ) / 1

LCM(6825,8441) = 57609825 / 1

LCM(6825,8441) = 57609825


Lets's calculate GCF of 379,4930

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57609825/1

Therefore the LCM of Fractions 6825/379,8441/4930 is 57609825

Greatest Common Factor of 379,4930 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,4930 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 4930

List of positive integer factors of 4930 that divides 4930 without a remainder.

1,2,5,10,17,29,34,58,85,145,170,290,493,986,2465,4930

Greatest Common Factor

We found the factors 379,4930 . The biggest common factor number is the GCF number.
So the greatest common factor 379,4930 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 6825/379, 8441/4930

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 6825/379, 8441/4930?

Answer: LCM of Numerators as per given numbers 6825/379, 8441/4930 is

LCM of Numerators i.e. for 6825,8441 is 57609825

GCF of denominators i.e. for 379,4930 is 1.

Thus, LCM of Fractions is 57609825.Finally, LCM of Fractions for 6825/379, 8441/4930 is 57609825.