Least Common Multiple of 7428/633, 3683/6356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7428/633, 3683/6356 quickly i.e. 27357324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7428/633, 3683/6356 is 27357324.

LCM(7428/633, 3683/6356) = 27357324

LCM of 7428/633, 3683/6356

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 7428/633,3683/6356

Given numbers are 7428/633,3683/6356

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 7428,3683

Least Common Multiple of Numerators i.e. LCM of 7428,3683 is 27357324.

GCF of Denominators means GCF of 633,6356 as per the given fractions.

GCF of 633,6356 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7428,3683

LCM of Fractions 7428/633,3683/6356 is 27357324

Given numbers has no common factors except 1. So, there LCM is their product i.e 27357324

Least Common Multiple of 7428,3683 with GCF Formula

Least Common Multiple of 7428,3683 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 7428,3683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7428,3683) = 1

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

GCF(7428,3683) x common factors =1 x 1 = 1

LCM(7428,3683) = ( 7428 × 3683 ) / 1

LCM(7428,3683) = 27357324 / 1

LCM(7428,3683) = 27357324


Lets's calculate GCF of 633,6356

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27357324/1

Therefore the LCM of Fractions 7428/633,3683/6356 is 27357324

Greatest Common Factor of 633,6356 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,6356 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 6356

List of positive integer factors of 6356 that divides 6356 without a remainder.

1,2,4,7,14,28,227,454,908,1589,3178,6356

Greatest Common Factor

We found the factors 633,6356 . The biggest common factor number is the GCF number.
So the greatest common factor 633,6356 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 7428/633, 3683/6356

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 7428/633, 3683/6356?

Answer: LCM of Numerators as per given numbers 7428/633, 3683/6356 is

LCM of Numerators i.e. for 7428,3683 is 27357324

GCF of denominators i.e. for 633,6356 is 1.

Thus, LCM of Fractions is 27357324.Finally, LCM of Fractions for 7428/633, 3683/6356 is 27357324.