Least Common Multiple of 472/324, 274/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 472/324, 274/946 quickly i.e. 32332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/324, 274/946 is 32332.

LCM(472/324, 274/946) = 32332

LCM of 472/324, 274/946

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 472/324,274/946

Given numbers are 472/324,274/946

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 472,274

Least Common Multiple of Numerators i.e. LCM of 472,274 is 64664.

GCF of Denominators means GCF of 324,946 as per the given fractions.

GCF of 324,946 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,274

LCM of Fractions 472/324,274/946 is 32332

2 472, 274
236, 137

∴ So the LCM of the given numbers is 2 x 236 x 137 = 64664

Least Common Multiple of 472,274 with GCF Formula

Least Common Multiple of 472,274 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 472,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,274) = 2

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

GCF(472,274) x common factors =2 x 1 = 2

LCM(472,274) = ( 472 × 274 ) / 2

LCM(472,274) = 129328 / 2

LCM(472,274) = 64664


Lets's calculate GCF of 324,946

2 324, 946
162, 473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64664/2

Therefore the LCM of Fractions 472/324,274/946 is 32332

Greatest Common Factor of 324,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,946 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 324,946 . The biggest common factor number is the GCF number.
So the greatest common factor 324,946 is 2.


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 472/324, 274/946

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 472/324, 274/946?

Answer: LCM of Numerators as per given numbers 472/324, 274/946 is

LCM of Numerators i.e. for 472,274 is 64664

GCF of denominators i.e. for 324,946 is 2.

Thus, LCM of Fractions is 32332.Finally, LCM of Fractions for 472/324, 274/946 is 32332.