Least Common Multiple of 12/945, 701/243, 181/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 12/945, 701/243, 181/959 quickly i.e. 1522572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/945, 701/243, 181/959 is 1522572.

LCM(12/945, 701/243, 181/959) = 1522572

LCM of 12/945, 701/243, 181/959

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 12/945,701/243,181/959

Given numbers are 12/945,701/243,181/959

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 12,701,181

Least Common Multiple of Numerators i.e. LCM of 12,701,181 is 1522572.

GCF of Denominators means GCF of 945,243,959 as per the given fractions.

GCF of 945,243,959 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,701,181

LCM of Fractions 12/945,701/243,181/959 is 1522572

Given numbers has no common factors except 1. So, there LCM is their product i.e 1522572

Least Common Multiple of 12,701,181 with GCF Formula

Least Common Multiple of 12,701,181 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 12,701,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,701,181) = 1

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

GCF(12,701,181) x common factors =1 x 1 = 1

LCM(12,701,181) = ( 12 × 701 × 181 ) / 1

LCM(12,701,181) = 1522572 / 1

LCM(12,701,181) = 1522572


Lets's calculate GCF of 945,243,959

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1522572/1

Therefore the LCM of Fractions 12/945,701/243,181/959 is 1522572

Greatest Common Factor of 945,243,959 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,243,959 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Greatest Common Factor

We found the factors 945,243,959 . The biggest common factor number is the GCF number.
So the greatest common factor 945,243,959 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 12/945, 701/243, 181/959

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 12/945, 701/243, 181/959?

Answer: LCM of Numerators as per given numbers 12/945, 701/243, 181/959 is

LCM of Numerators i.e. for 12,701,181 is 1522572

GCF of denominators i.e. for 945,243,959 is 1.

Thus, LCM of Fractions is 1522572.Finally, LCM of Fractions for 12/945, 701/243, 181/959 is 1522572.