Least Common Multiple of 9368/856, 3144/1212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9368/856, 3144/1212 quickly i.e. 920406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9368/856, 3144/1212 is 920406.

LCM(9368/856, 3144/1212) = 920406

LCM of 9368/856, 3144/1212

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 9368/856,3144/1212

Given numbers are 9368/856,3144/1212

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 9368,3144

Least Common Multiple of Numerators i.e. LCM of 9368,3144 is 3681624.

GCF of Denominators means GCF of 856,1212 as per the given fractions.

GCF of 856,1212 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9368,3144

LCM of Fractions 9368/856,3144/1212 is 920406

2 9368, 3144
2 4684, 1572
2 2342, 786
1171, 393

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1171 x 393 = 3681624

Least Common Multiple of 9368,3144 with GCF Formula

Least Common Multiple of 9368,3144 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 9368,3144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9368,3144) = 8

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

GCF(9368,3144) x common factors =8 x 1 = 8

LCM(9368,3144) = ( 9368 × 3144 ) / 8

LCM(9368,3144) = 29452992 / 8

LCM(9368,3144) = 3681624


Lets's calculate GCF of 856,1212

2 856, 1212
2 428, 606
214, 303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3681624/4

Therefore the LCM of Fractions 9368/856,3144/1212 is 920406

Greatest Common Factor of 856,1212 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,1212 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 1212

List of positive integer factors of 1212 that divides 1212 without a remainder.

1,2,3,4,6,12,101,202,303,404,606,1212

Greatest Common Factor

We found the factors 856,1212 . The biggest common factor number is the GCF number.
So the greatest common factor 856,1212 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 9368/856, 3144/1212

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 9368/856, 3144/1212?

Answer: LCM of Numerators as per given numbers 9368/856, 3144/1212 is

LCM of Numerators i.e. for 9368,3144 is 3681624

GCF of denominators i.e. for 856,1212 is 4.

Thus, LCM of Fractions is 920406.Finally, LCM of Fractions for 9368/856, 3144/1212 is 920406.