Least Common Multiple of 314/18, 551/37, 299/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 314/18, 551/37, 299/703 quickly i.e. 51731186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 314/18, 551/37, 299/703 is 51731186.

LCM(314/18, 551/37, 299/703) = 51731186

LCM of 314/18, 551/37, 299/703

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 314/18,551/37,299/703

Given numbers are 314/18,551/37,299/703

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 314,551,299

Least Common Multiple of Numerators i.e. LCM of 314,551,299 is 51731186.

GCF of Denominators means GCF of 18,37,703 as per the given fractions.

GCF of 18,37,703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 314,551,299

LCM of Fractions 314/18,551/37,299/703 is 51731186

Given numbers has no common factors except 1. So, there LCM is their product i.e 51731186

Least Common Multiple of 314,551,299 with GCF Formula

Least Common Multiple of 314,551,299 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 314,551,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,551,299) = 1

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

GCF(314,551,299) x common factors =1 x 1 = 1

LCM(314,551,299) = ( 314 × 551 × 299 ) / 1

LCM(314,551,299) = 51731186 / 1

LCM(314,551,299) = 51731186


Lets's calculate GCF of 18,37,703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51731186/1

Therefore the LCM of Fractions 314/18,551/37,299/703 is 51731186

Greatest Common Factor of 18,37,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,37,703 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 18,37,703 . The biggest common factor number is the GCF number.
So the greatest common factor 18,37,703 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 314/18, 551/37, 299/703

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 314/18, 551/37, 299/703?

Answer: LCM of Numerators as per given numbers 314/18, 551/37, 299/703 is

LCM of Numerators i.e. for 314,551,299 is 51731186

GCF of denominators i.e. for 18,37,703 is 1.

Thus, LCM of Fractions is 51731186.Finally, LCM of Fractions for 314/18, 551/37, 299/703 is 51731186.