Least Common Multiple of 61/192, 194/355, 731/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/192, 194/355, 731/466 quickly i.e. 8650654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/192, 194/355, 731/466 is 8650654.

LCM(61/192, 194/355, 731/466) = 8650654

LCM of 61/192, 194/355, 731/466

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 61/192,194/355,731/466

Given numbers are 61/192,194/355,731/466

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 61,194,731

Least Common Multiple of Numerators i.e. LCM of 61,194,731 is 8650654.

GCF of Denominators means GCF of 192,355,466 as per the given fractions.

GCF of 192,355,466 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,194,731

LCM of Fractions 61/192,194/355,731/466 is 8650654

Given numbers has no common factors except 1. So, there LCM is their product i.e 8650654

Least Common Multiple of 61,194,731 with GCF Formula

Least Common Multiple of 61,194,731 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 61,194,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,194,731) = 1

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

GCF(61,194,731) x common factors =1 x 1 = 1

LCM(61,194,731) = ( 61 × 194 × 731 ) / 1

LCM(61,194,731) = 8650654 / 1

LCM(61,194,731) = 8650654


Lets's calculate GCF of 192,355,466

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8650654/1

Therefore the LCM of Fractions 61/192,194/355,731/466 is 8650654

Greatest Common Factor of 192,355,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,355,466 By Matching Biggest Common Factor Method

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 192,355,466 . The biggest common factor number is the GCF number.
So the greatest common factor 192,355,466 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 61/192, 194/355, 731/466

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 61/192, 194/355, 731/466?

Answer: LCM of Numerators as per given numbers 61/192, 194/355, 731/466 is

LCM of Numerators i.e. for 61,194,731 is 8650654

GCF of denominators i.e. for 192,355,466 is 1.

Thus, LCM of Fractions is 8650654.Finally, LCM of Fractions for 61/192, 194/355, 731/466 is 8650654.