Least Common Multiple of 7812/256, 3642/4836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7812/256, 3642/4836 quickly i.e. 1185471 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7812/256, 3642/4836 is 1185471.

LCM(7812/256, 3642/4836) = 1185471

LCM of 7812/256, 3642/4836

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 7812/256,3642/4836

Given numbers are 7812/256,3642/4836

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 7812,3642

Least Common Multiple of Numerators i.e. LCM of 7812,3642 is 4741884.

GCF of Denominators means GCF of 256,4836 as per the given fractions.

GCF of 256,4836 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7812,3642

LCM of Fractions 7812/256,3642/4836 is 1185471

2 7812, 3642
3 3906, 1821
1302, 607

∴ So the LCM of the given numbers is 2 x 3 x 1302 x 607 = 4741884

Least Common Multiple of 7812,3642 with GCF Formula

Least Common Multiple of 7812,3642 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 7812,3642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7812,3642) = 6

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

GCF(7812,3642) x common factors =6 x 1 = 6

LCM(7812,3642) = ( 7812 × 3642 ) / 6

LCM(7812,3642) = 28451304 / 6

LCM(7812,3642) = 4741884


Lets's calculate GCF of 256,4836

2 256, 4836
2 128, 2418
64, 1209

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4741884/4

Therefore the LCM of Fractions 7812/256,3642/4836 is 1185471

Greatest Common Factor of 256,4836 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,4836 By Matching Biggest Common Factor Method

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 4836

List of positive integer factors of 4836 that divides 4836 without a remainder.

1,2,3,4,6,12,13,26,31,39,52,62,78,93,124,156,186,372,403,806,1209,1612,2418,4836

Greatest Common Factor

We found the factors 256,4836 . The biggest common factor number is the GCF number.
So the greatest common factor 256,4836 is 4.


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 7812/256, 3642/4836

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 7812/256, 3642/4836?

Answer: LCM of Numerators as per given numbers 7812/256, 3642/4836 is

LCM of Numerators i.e. for 7812,3642 is 4741884

GCF of denominators i.e. for 256,4836 is 4.

Thus, LCM of Fractions is 1185471.Finally, LCM of Fractions for 7812/256, 3642/4836 is 1185471.