Least Common Multiple of 301/660, 236/432, 711/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 301/660, 236/432, 711/196 quickly i.e. 12626649 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 301/660, 236/432, 711/196 is 12626649.

LCM(301/660, 236/432, 711/196) = 12626649

LCM of 301/660, 236/432, 711/196

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 301/660,236/432,711/196

Given numbers are 301/660,236/432,711/196

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 301,236,711

Least Common Multiple of Numerators i.e. LCM of 301,236,711 is 50506596.

GCF of Denominators means GCF of 660,432,196 as per the given fractions.

GCF of 660,432,196 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 301,236,711

LCM of Fractions 301/660,236/432,711/196 is 12626649

Given numbers has no common factors except 1. So, there LCM is their product i.e 50506596

Least Common Multiple of 301,236,711 with GCF Formula

Least Common Multiple of 301,236,711 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 301,236,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,236,711) = 1

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

GCF(301,236,711) x common factors =1 x 1 = 1

LCM(301,236,711) = ( 301 × 236 × 711 ) / 1

LCM(301,236,711) = 50506596 / 1

LCM(301,236,711) = 50506596


Lets's calculate GCF of 660,432,196

2 660, 432, 196
2 330, 216, 98
165, 108, 49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50506596/4

Therefore the LCM of Fractions 301/660,236/432,711/196 is 12626649

Greatest Common Factor of 660,432,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,432,196 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 660,432,196 . The biggest common factor number is the GCF number.
So the greatest common factor 660,432,196 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 301/660, 236/432, 711/196

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 301/660, 236/432, 711/196?

Answer: LCM of Numerators as per given numbers 301/660, 236/432, 711/196 is

LCM of Numerators i.e. for 301,236,711 is 50506596

GCF of denominators i.e. for 660,432,196 is 4.

Thus, LCM of Fractions is 12626649.Finally, LCM of Fractions for 301/660, 236/432, 711/196 is 12626649.