Least Common Multiple of 12/960, 2332/7556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/960, 2332/7556 quickly i.e. 1749 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/960, 2332/7556 is 1749.

LCM(12/960, 2332/7556) = 1749

LCM of 12/960, 2332/7556

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 12/960,2332/7556

Given numbers are 12/960,2332/7556

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 12,2332

Least Common Multiple of Numerators i.e. LCM of 12,2332 is 6996.

GCF of Denominators means GCF of 960,7556 as per the given fractions.

GCF of 960,7556 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,2332

LCM of Fractions 12/960,2332/7556 is 1749

2 12, 2332
2 6, 1166
3, 583

∴ So the LCM of the given numbers is 2 x 2 x 3 x 583 = 6996

Least Common Multiple of 12,2332 with GCF Formula

Least Common Multiple of 12,2332 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 12,2332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,2332) = 4

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

GCF(12,2332) x common factors =4 x 1 = 4

LCM(12,2332) = ( 12 × 2332 ) / 4

LCM(12,2332) = 27984 / 4

LCM(12,2332) = 6996


Lets's calculate GCF of 960,7556

2 960, 7556
2 480, 3778
240, 1889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6996/4

Therefore the LCM of Fractions 12/960,2332/7556 is 1749

Greatest Common Factor of 960,7556 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,7556 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 7556

List of positive integer factors of 7556 that divides 7556 without a remainder.

1,2,4,1889,3778,7556

Greatest Common Factor

We found the factors 960,7556 . The biggest common factor number is the GCF number.
So the greatest common factor 960,7556 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 12/960, 2332/7556

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 12/960, 2332/7556?

Answer: LCM of Numerators as per given numbers 12/960, 2332/7556 is

LCM of Numerators i.e. for 12,2332 is 6996

GCF of denominators i.e. for 960,7556 is 4.

Thus, LCM of Fractions is 1749.Finally, LCM of Fractions for 12/960, 2332/7556 is 1749.