Least Common Multiple of 300/799, 1559/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 300/799, 1559/868 quickly i.e. 467700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/799, 1559/868 is 467700.

LCM(300/799, 1559/868) = 467700

LCM of 300/799, 1559/868

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 300/799,1559/868

Given numbers are 300/799,1559/868

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 300,1559

Least Common Multiple of Numerators i.e. LCM of 300,1559 is 467700.

GCF of Denominators means GCF of 799,868 as per the given fractions.

GCF of 799,868 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,1559

LCM of Fractions 300/799,1559/868 is 467700

Given numbers has no common factors except 1. So, there LCM is their product i.e 467700

Least Common Multiple of 300,1559 with GCF Formula

Least Common Multiple of 300,1559 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 300,1559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,1559) = 1

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

GCF(300,1559) x common factors =1 x 1 = 1

LCM(300,1559) = ( 300 × 1559 ) / 1

LCM(300,1559) = 467700 / 1

LCM(300,1559) = 467700


Lets's calculate GCF of 799,868

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 467700/1

Therefore the LCM of Fractions 300/799,1559/868 is 467700

Greatest Common Factor of 799,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 799,868 By Matching Biggest Common Factor Method

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 799,868 . The biggest common factor number is the GCF number.
So the greatest common factor 799,868 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 300/799, 1559/868

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 300/799, 1559/868?

Answer: LCM of Numerators as per given numbers 300/799, 1559/868 is

LCM of Numerators i.e. for 300,1559 is 467700

GCF of denominators i.e. for 799,868 is 1.

Thus, LCM of Fractions is 467700.Finally, LCM of Fractions for 300/799, 1559/868 is 467700.