Least Common Multiple of 799/157, 299/772, 800/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 799/157, 299/772, 800/288 quickly i.e. 191120800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 799/157, 299/772, 800/288 is 191120800.

LCM(799/157, 299/772, 800/288) = 191120800

LCM of 799/157, 299/772, 800/288

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 799/157,299/772,800/288

Given numbers are 799/157,299/772,800/288

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 799,299,800

Least Common Multiple of Numerators i.e. LCM of 799,299,800 is 191120800.

GCF of Denominators means GCF of 157,772,288 as per the given fractions.

GCF of 157,772,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 799,299,800

LCM of Fractions 799/157,299/772,800/288 is 191120800

Given numbers has no common factors except 1. So, there LCM is their product i.e 191120800

Least Common Multiple of 799,299,800 with GCF Formula

Least Common Multiple of 799,299,800 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 799,299,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(799,299,800) = 1

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

GCF(799,299,800) x common factors =1 x 1 = 1

LCM(799,299,800) = ( 799 × 299 × 800 ) / 1

LCM(799,299,800) = 191120800 / 1

LCM(799,299,800) = 191120800


Lets's calculate GCF of 157,772,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191120800/1

Therefore the LCM of Fractions 799/157,299/772,800/288 is 191120800

Greatest Common Factor of 157,772,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,772,288 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 157,772,288 . The biggest common factor number is the GCF number.
So the greatest common factor 157,772,288 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 799/157, 299/772, 800/288

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 799/157, 299/772, 800/288?

Answer: LCM of Numerators as per given numbers 799/157, 299/772, 800/288 is

LCM of Numerators i.e. for 799,299,800 is 191120800

GCF of denominators i.e. for 157,772,288 is 1.

Thus, LCM of Fractions is 191120800.Finally, LCM of Fractions for 799/157, 299/772, 800/288 is 191120800.