Least Common Multiple of 13/775, 18/742, 132/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/775, 18/742, 132/796 quickly i.e. 5148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/775, 18/742, 132/796 is 5148.

LCM(13/775, 18/742, 132/796) = 5148

LCM of 13/775, 18/742, 132/796

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 13/775,18/742,132/796

Given numbers are 13/775,18/742,132/796

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 13,18,132

Least Common Multiple of Numerators i.e. LCM of 13,18,132 is 5148.

GCF of Denominators means GCF of 775,742,796 as per the given fractions.

GCF of 775,742,796 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,18,132

LCM of Fractions 13/775,18/742,132/796 is 5148

2 13, 18, 132
3 13, 9, 66
13, 3, 22

∴ So the LCM of the given numbers is 2 x 3 x 13 x 3 x 22 = 5148

Least Common Multiple of 13,18,132 with GCF Formula

Least Common Multiple of 13,18,132 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 13,18,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,18,132) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(13,18,132) x common factors =1 x 6 = 6

LCM(13,18,132) = ( 13 × 18 × 132 ) / 6

LCM(13,18,132) = 30888 / 6

LCM(13,18,132) = 5148


Lets's calculate GCF of 775,742,796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5148/1

Therefore the LCM of Fractions 13/775,18/742,132/796 is 5148

Greatest Common Factor of 775,742,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,742,796 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 775,742,796 . The biggest common factor number is the GCF number.
So the greatest common factor 775,742,796 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/775, 18/742, 132/796

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 13/775, 18/742, 132/796?

Answer: LCM of Numerators as per given numbers 13/775, 18/742, 132/796 is

LCM of Numerators i.e. for 13,18,132 is 5148

GCF of denominators i.e. for 775,742,796 is 1.

Thus, LCM of Fractions is 5148.Finally, LCM of Fractions for 13/775, 18/742, 132/796 is 5148.