Least Common Multiple of 229/765, 6960/1595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 229/765, 6960/1595 quickly i.e. 318768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 229/765, 6960/1595 is 318768.

LCM(229/765, 6960/1595) = 318768

LCM of 229/765, 6960/1595

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 229/765,6960/1595

Given numbers are 229/765,6960/1595

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 229,6960

Least Common Multiple of Numerators i.e. LCM of 229,6960 is 1593840.

GCF of Denominators means GCF of 765,1595 as per the given fractions.

GCF of 765,1595 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 229,6960

LCM of Fractions 229/765,6960/1595 is 318768

Given numbers has no common factors except 1. So, there LCM is their product i.e 1593840

Least Common Multiple of 229,6960 with GCF Formula

Least Common Multiple of 229,6960 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 229,6960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,6960) = 1

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

GCF(229,6960) x common factors =1 x 1 = 1

LCM(229,6960) = ( 229 × 6960 ) / 1

LCM(229,6960) = 1593840 / 1

LCM(229,6960) = 1593840


Lets's calculate GCF of 765,1595

5 765, 1595
153, 319

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1593840/5

Therefore the LCM of Fractions 229/765,6960/1595 is 318768

Greatest Common Factor of 765,1595 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,1595 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 1595

List of positive integer factors of 1595 that divides 1595 without a remainder.

1,5,11,29,55,145,319,1595

Greatest Common Factor

We found the factors 765,1595 . The biggest common factor number is the GCF number.
So the greatest common factor 765,1595 is 5.


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 229/765, 6960/1595

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 229/765, 6960/1595?

Answer: LCM of Numerators as per given numbers 229/765, 6960/1595 is

LCM of Numerators i.e. for 229,6960 is 1593840

GCF of denominators i.e. for 765,1595 is 5.

Thus, LCM of Fractions is 318768.Finally, LCM of Fractions for 229/765, 6960/1595 is 318768.