Least Common Multiple of 7852/380, 3792/6021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7852/380, 3792/6021 quickly i.e. 7443696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7852/380, 3792/6021 is 7443696.

LCM(7852/380, 3792/6021) = 7443696

LCM of 7852/380, 3792/6021

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 7852/380,3792/6021

Given numbers are 7852/380,3792/6021

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 7852,3792

Least Common Multiple of Numerators i.e. LCM of 7852,3792 is 7443696.

GCF of Denominators means GCF of 380,6021 as per the given fractions.

GCF of 380,6021 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7852,3792

LCM of Fractions 7852/380,3792/6021 is 7443696

2 7852, 3792
2 3926, 1896
1963, 948

∴ So the LCM of the given numbers is 2 x 2 x 1963 x 948 = 7443696

Least Common Multiple of 7852,3792 with GCF Formula

Least Common Multiple of 7852,3792 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 7852,3792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7852,3792) = 4

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

GCF(7852,3792) x common factors =4 x 1 = 4

LCM(7852,3792) = ( 7852 × 3792 ) / 4

LCM(7852,3792) = 29774784 / 4

LCM(7852,3792) = 7443696


Lets's calculate GCF of 380,6021

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7443696/1

Therefore the LCM of Fractions 7852/380,3792/6021 is 7443696

Greatest Common Factor of 380,6021 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,6021 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 6021

List of positive integer factors of 6021 that divides 6021 without a remainder.

1,3,9,27,223,669,2007,6021

Greatest Common Factor

We found the factors 380,6021 . The biggest common factor number is the GCF number.
So the greatest common factor 380,6021 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 7852/380, 3792/6021

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 7852/380, 3792/6021?

Answer: LCM of Numerators as per given numbers 7852/380, 3792/6021 is

LCM of Numerators i.e. for 7852,3792 is 7443696

GCF of denominators i.e. for 380,6021 is 1.

Thus, LCM of Fractions is 7443696.Finally, LCM of Fractions for 7852/380, 3792/6021 is 7443696.