Least Common Multiple of 790/73, 476/95, 361/92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 790/73, 476/95, 361/92 quickly i.e. 67875220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 790/73, 476/95, 361/92 is 67875220.

LCM(790/73, 476/95, 361/92) = 67875220

LCM of 790/73, 476/95, 361/92

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 790/73,476/95,361/92

Given numbers are 790/73,476/95,361/92

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 790,476,361

Least Common Multiple of Numerators i.e. LCM of 790,476,361 is 67875220.

GCF of Denominators means GCF of 73,95,92 as per the given fractions.

GCF of 73,95,92 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 790,476,361

LCM of Fractions 790/73,476/95,361/92 is 67875220

2 790, 476, 361
395, 238, 361

∴ So the LCM of the given numbers is 2 x 395 x 238 x 361 = 67875220

Least Common Multiple of 790,476,361 with GCF Formula

Least Common Multiple of 790,476,361 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 790,476,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,476,361) = 1

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

GCF(790,476,361) x common factors =1 x 2 = 2

LCM(790,476,361) = ( 790 × 476 × 361 ) / 2

LCM(790,476,361) = 135750440 / 2

LCM(790,476,361) = 67875220


Lets's calculate GCF of 73,95,92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67875220/1

Therefore the LCM of Fractions 790/73,476/95,361/92 is 67875220

Greatest Common Factor of 73,95,92 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,95,92 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 95

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

1,5,19,95

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Greatest Common Factor

We found the factors 73,95,92 . The biggest common factor number is the GCF number.
So the greatest common factor 73,95,92 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 790/73, 476/95, 361/92

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 790/73, 476/95, 361/92?

Answer: LCM of Numerators as per given numbers 790/73, 476/95, 361/92 is

LCM of Numerators i.e. for 790,476,361 is 67875220

GCF of denominators i.e. for 73,95,92 is 1.

Thus, LCM of Fractions is 67875220.Finally, LCM of Fractions for 790/73, 476/95, 361/92 is 67875220.