Least Common Multiple of 412/95, 182/12, 971/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/95, 182/12, 971/627 quickly i.e. 36404732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/95, 182/12, 971/627 is 36404732.

LCM(412/95, 182/12, 971/627) = 36404732

LCM of 412/95, 182/12, 971/627

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 412/95,182/12,971/627

Given numbers are 412/95,182/12,971/627

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 412,182,971

Least Common Multiple of Numerators i.e. LCM of 412,182,971 is 36404732.

GCF of Denominators means GCF of 95,12,627 as per the given fractions.

GCF of 95,12,627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,182,971

LCM of Fractions 412/95,182/12,971/627 is 36404732

2 412, 182, 971
206, 91, 971

∴ So the LCM of the given numbers is 2 x 206 x 91 x 971 = 36404732

Least Common Multiple of 412,182,971 with GCF Formula

Least Common Multiple of 412,182,971 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 412,182,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,182,971) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(412,182,971) x common factors =1 x 2 = 2

LCM(412,182,971) = ( 412 × 182 × 971 ) / 2

LCM(412,182,971) = 72809464 / 2

LCM(412,182,971) = 36404732


Lets's calculate GCF of 95,12,627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36404732/1

Therefore the LCM of Fractions 412/95,182/12,971/627 is 36404732

Greatest Common Factor of 95,12,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,12,627 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 95,12,627 . The biggest common factor number is the GCF number.
So the greatest common factor 95,12,627 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 412/95, 182/12, 971/627

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 412/95, 182/12, 971/627?

Answer: LCM of Numerators as per given numbers 412/95, 182/12, 971/627 is

LCM of Numerators i.e. for 412,182,971 is 36404732

GCF of denominators i.e. for 95,12,627 is 1.

Thus, LCM of Fractions is 36404732.Finally, LCM of Fractions for 412/95, 182/12, 971/627 is 36404732.