Least Common Multiple of 78/143, 202/960, 229/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/143, 202/960, 229/613 quickly i.e. 1804062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/143, 202/960, 229/613 is 1804062.

LCM(78/143, 202/960, 229/613) = 1804062

LCM of 78/143, 202/960, 229/613

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 78/143,202/960,229/613

Given numbers are 78/143,202/960,229/613

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 78,202,229

Least Common Multiple of Numerators i.e. LCM of 78,202,229 is 1804062.

GCF of Denominators means GCF of 143,960,613 as per the given fractions.

GCF of 143,960,613 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,202,229

LCM of Fractions 78/143,202/960,229/613 is 1804062

2 78, 202, 229
39, 101, 229

∴ So the LCM of the given numbers is 2 x 39 x 101 x 229 = 1804062

Least Common Multiple of 78,202,229 with GCF Formula

Least Common Multiple of 78,202,229 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 78,202,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,202,229) = 1

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

GCF(78,202,229) x common factors =1 x 2 = 2

LCM(78,202,229) = ( 78 × 202 × 229 ) / 2

LCM(78,202,229) = 3608124 / 2

LCM(78,202,229) = 1804062


Lets's calculate GCF of 143,960,613

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1804062/1

Therefore the LCM of Fractions 78/143,202/960,229/613 is 1804062

Greatest Common Factor of 143,960,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,960,613 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 143,960,613 . The biggest common factor number is the GCF number.
So the greatest common factor 143,960,613 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 78/143, 202/960, 229/613

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 78/143, 202/960, 229/613?

Answer: LCM of Numerators as per given numbers 78/143, 202/960, 229/613 is

LCM of Numerators i.e. for 78,202,229 is 1804062

GCF of denominators i.e. for 143,960,613 is 1.

Thus, LCM of Fractions is 1804062.Finally, LCM of Fractions for 78/143, 202/960, 229/613 is 1804062.