Least Common Multiple of 772/22, 305/87, 193/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 772/22, 305/87, 193/39 quickly i.e. 235460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 772/22, 305/87, 193/39 is 235460.

LCM(772/22, 305/87, 193/39) = 235460

LCM of 772/22, 305/87, 193/39

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 772/22,305/87,193/39

Given numbers are 772/22,305/87,193/39

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 772,305,193

Least Common Multiple of Numerators i.e. LCM of 772,305,193 is 235460.

GCF of Denominators means GCF of 22,87,39 as per the given fractions.

GCF of 22,87,39 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 772,305,193

LCM of Fractions 772/22,305/87,193/39 is 235460

193 772, 305, 193
4, 305, 1

∴ So the LCM of the given numbers is 193 x 4 x 305 x 1 = 235460

Least Common Multiple of 772,305,193 with GCF Formula

Least Common Multiple of 772,305,193 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 772,305,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,305,193) = 1

common factors(in case of two or more numbers have common factors) = 193

GCF(772,305,193) x common factors =1 x 193 = 193

LCM(772,305,193) = ( 772 × 305 × 193 ) / 193

LCM(772,305,193) = 45443780 / 193

LCM(772,305,193) = 235460


Lets's calculate GCF of 22,87,39

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235460/1

Therefore the LCM of Fractions 772/22,305/87,193/39 is 235460

Greatest Common Factor of 22,87,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,87,39 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Greatest Common Factor

We found the factors 22,87,39 . The biggest common factor number is the GCF number.
So the greatest common factor 22,87,39 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 772/22, 305/87, 193/39

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 772/22, 305/87, 193/39?

Answer: LCM of Numerators as per given numbers 772/22, 305/87, 193/39 is

LCM of Numerators i.e. for 772,305,193 is 235460

GCF of denominators i.e. for 22,87,39 is 1.

Thus, LCM of Fractions is 235460.Finally, LCM of Fractions for 772/22, 305/87, 193/39 is 235460.