Least Common Multiple of 13/228, 320/762, 767/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/228, 320/762, 767/344 quickly i.e. 122720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/228, 320/762, 767/344 is 122720.

LCM(13/228, 320/762, 767/344) = 122720

LCM of 13/228, 320/762, 767/344

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 13/228,320/762,767/344

Given numbers are 13/228,320/762,767/344

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 13,320,767

Least Common Multiple of Numerators i.e. LCM of 13,320,767 is 245440.

GCF of Denominators means GCF of 228,762,344 as per the given fractions.

GCF of 228,762,344 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,320,767

LCM of Fractions 13/228,320/762,767/344 is 122720

13 13, 320, 767
1, 320, 59

∴ So the LCM of the given numbers is 13 x 1 x 320 x 59 = 245440

Least Common Multiple of 13,320,767 with GCF Formula

Least Common Multiple of 13,320,767 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 13,320,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,320,767) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(13,320,767) x common factors =1 x 13 = 13

LCM(13,320,767) = ( 13 × 320 × 767 ) / 13

LCM(13,320,767) = 3190720 / 13

LCM(13,320,767) = 245440


Lets's calculate GCF of 228,762,344

2 228, 762, 344
114, 381, 172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245440/2

Therefore the LCM of Fractions 13/228,320/762,767/344 is 122720

Greatest Common Factor of 228,762,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,762,344 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 228,762,344 . The biggest common factor number is the GCF number.
So the greatest common factor 228,762,344 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 13/228, 320/762, 767/344

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 13/228, 320/762, 767/344?

Answer: LCM of Numerators as per given numbers 13/228, 320/762, 767/344 is

LCM of Numerators i.e. for 13,320,767 is 245440

GCF of denominators i.e. for 228,762,344 is 2.

Thus, LCM of Fractions is 122720.Finally, LCM of Fractions for 13/228, 320/762, 767/344 is 122720.