Least Common Multiple of 7812/371, 3823/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7812/371, 3823/478 quickly i.e. 29865276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7812/371, 3823/478 is 29865276.

LCM(7812/371, 3823/478) = 29865276

LCM of 7812/371, 3823/478

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 7812/371,3823/478

Given numbers are 7812/371,3823/478

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 7812,3823

Least Common Multiple of Numerators i.e. LCM of 7812,3823 is 29865276.

GCF of Denominators means GCF of 371,478 as per the given fractions.

GCF of 371,478 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7812,3823

LCM of Fractions 7812/371,3823/478 is 29865276

Given numbers has no common factors except 1. So, there LCM is their product i.e 29865276

Least Common Multiple of 7812,3823 with GCF Formula

Least Common Multiple of 7812,3823 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 7812,3823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7812,3823) = 1

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

GCF(7812,3823) x common factors =1 x 1 = 1

LCM(7812,3823) = ( 7812 × 3823 ) / 1

LCM(7812,3823) = 29865276 / 1

LCM(7812,3823) = 29865276


Lets's calculate GCF of 371,478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29865276/1

Therefore the LCM of Fractions 7812/371,3823/478 is 29865276

Greatest Common Factor of 371,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,478 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 371,478 . The biggest common factor number is the GCF number.
So the greatest common factor 371,478 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 7812/371, 3823/478

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 7812/371, 3823/478?

Answer: LCM of Numerators as per given numbers 7812/371, 3823/478 is

LCM of Numerators i.e. for 7812,3823 is 29865276

GCF of denominators i.e. for 371,478 is 1.

Thus, LCM of Fractions is 29865276.Finally, LCM of Fractions for 7812/371, 3823/478 is 29865276.