Least Common Multiple of 788/180, 125/798, 334/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 788/180, 125/798, 334/919 quickly i.e. 16449500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 788/180, 125/798, 334/919 is 16449500.

LCM(788/180, 125/798, 334/919) = 16449500

LCM of 788/180, 125/798, 334/919

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 788/180,125/798,334/919

Given numbers are 788/180,125/798,334/919

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 788,125,334

Least Common Multiple of Numerators i.e. LCM of 788,125,334 is 16449500.

GCF of Denominators means GCF of 180,798,919 as per the given fractions.

GCF of 180,798,919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 788,125,334

LCM of Fractions 788/180,125/798,334/919 is 16449500

2 788, 125, 334
394, 125, 167

∴ So the LCM of the given numbers is 2 x 394 x 125 x 167 = 16449500

Least Common Multiple of 788,125,334 with GCF Formula

Least Common Multiple of 788,125,334 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 788,125,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,125,334) = 1

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

GCF(788,125,334) x common factors =1 x 2 = 2

LCM(788,125,334) = ( 788 × 125 × 334 ) / 2

LCM(788,125,334) = 32899000 / 2

LCM(788,125,334) = 16449500


Lets's calculate GCF of 180,798,919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16449500/1

Therefore the LCM of Fractions 788/180,125/798,334/919 is 16449500

Greatest Common Factor of 180,798,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,798,919 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 180,798,919 . The biggest common factor number is the GCF number.
So the greatest common factor 180,798,919 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 788/180, 125/798, 334/919

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 788/180, 125/798, 334/919?

Answer: LCM of Numerators as per given numbers 788/180, 125/798, 334/919 is

LCM of Numerators i.e. for 788,125,334 is 16449500

GCF of denominators i.e. for 180,798,919 is 1.

Thus, LCM of Fractions is 16449500.Finally, LCM of Fractions for 788/180, 125/798, 334/919 is 16449500.