Least Common Multiple of 12/960, 109/852, 361/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/960, 109/852, 361/701 quickly i.e. 472188 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, 109/852, 361/701 is 472188.

LCM(12/960, 109/852, 361/701) = 472188

LCM of 12/960, 109/852, 361/701

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 12/960,109/852,361/701

Given numbers are 12/960,109/852,361/701

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 12,109,361

Least Common Multiple of Numerators i.e. LCM of 12,109,361 is 472188.

GCF of Denominators means GCF of 960,852,701 as per the given fractions.

GCF of 960,852,701 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,109,361

LCM of Fractions 12/960,109/852,361/701 is 472188

Given numbers has no common factors except 1. So, there LCM is their product i.e 472188

Least Common Multiple of 12,109,361 with GCF Formula

Least Common Multiple of 12,109,361 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 12,109,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,109,361) = 1

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

GCF(12,109,361) x common factors =1 x 1 = 1

LCM(12,109,361) = ( 12 × 109 × 361 ) / 1

LCM(12,109,361) = 472188 / 1

LCM(12,109,361) = 472188


Lets's calculate GCF of 960,852,701

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 472188/1

Therefore the LCM of Fractions 12/960,109/852,361/701 is 472188

Greatest Common Factor of 960,852,701 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,852,701 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 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Greatest Common Factor

We found the factors 960,852,701 . The biggest common factor number is the GCF number.
So the greatest common factor 960,852,701 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 12/960, 109/852, 361/701

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, 109/852, 361/701?

Answer: LCM of Numerators as per given numbers 12/960, 109/852, 361/701 is

LCM of Numerators i.e. for 12,109,361 is 472188

GCF of denominators i.e. for 960,852,701 is 1.

Thus, LCM of Fractions is 472188.Finally, LCM of Fractions for 12/960, 109/852, 361/701 is 472188.