Least Common Multiple of 3561/96, 1412/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3561/96, 1412/796 quickly i.e. 1257033 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3561/96, 1412/796 is 1257033.

LCM(3561/96, 1412/796) = 1257033

LCM of 3561/96, 1412/796

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 3561/96,1412/796

Given numbers are 3561/96,1412/796

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 3561,1412

Least Common Multiple of Numerators i.e. LCM of 3561,1412 is 5028132.

GCF of Denominators means GCF of 96,796 as per the given fractions.

GCF of 96,796 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3561,1412

LCM of Fractions 3561/96,1412/796 is 1257033

Given numbers has no common factors except 1. So, there LCM is their product i.e 5028132

Least Common Multiple of 3561,1412 with GCF Formula

Least Common Multiple of 3561,1412 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 3561,1412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3561,1412) = 1

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

GCF(3561,1412) x common factors =1 x 1 = 1

LCM(3561,1412) = ( 3561 × 1412 ) / 1

LCM(3561,1412) = 5028132 / 1

LCM(3561,1412) = 5028132


Lets's calculate GCF of 96,796

2 96, 796
2 48, 398
24, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5028132/4

Therefore the LCM of Fractions 3561/96,1412/796 is 1257033

Greatest Common Factor of 96,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,796 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 96,796 . The biggest common factor number is the GCF number.
So the greatest common factor 96,796 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 3561/96, 1412/796

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 3561/96, 1412/796?

Answer: LCM of Numerators as per given numbers 3561/96, 1412/796 is

LCM of Numerators i.e. for 3561,1412 is 5028132

GCF of denominators i.e. for 96,796 is 4.

Thus, LCM of Fractions is 1257033.Finally, LCM of Fractions for 3561/96, 1412/796 is 1257033.