Least Common Multiple of 314/57, 363/5602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 314/57, 363/5602 quickly i.e. 113982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 314/57, 363/5602 is 113982.

LCM(314/57, 363/5602) = 113982

LCM of 314/57, 363/5602

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 314/57,363/5602

Given numbers are 314/57,363/5602

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 314,363

Least Common Multiple of Numerators i.e. LCM of 314,363 is 113982.

GCF of Denominators means GCF of 57,5602 as per the given fractions.

GCF of 57,5602 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 314,363

LCM of Fractions 314/57,363/5602 is 113982

Given numbers has no common factors except 1. So, there LCM is their product i.e 113982

Least Common Multiple of 314,363 with GCF Formula

Least Common Multiple of 314,363 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 314,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,363) = 1

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

GCF(314,363) x common factors =1 x 1 = 1

LCM(314,363) = ( 314 × 363 ) / 1

LCM(314,363) = 113982 / 1

LCM(314,363) = 113982


Lets's calculate GCF of 57,5602

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113982/1

Therefore the LCM of Fractions 314/57,363/5602 is 113982

Greatest Common Factor of 57,5602 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,5602 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 5602

List of positive integer factors of 5602 that divides 5602 without a remainder.

1,2,2801,5602

Greatest Common Factor

We found the factors 57,5602 . The biggest common factor number is the GCF number.
So the greatest common factor 57,5602 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 314/57, 363/5602

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 314/57, 363/5602?

Answer: LCM of Numerators as per given numbers 314/57, 363/5602 is

LCM of Numerators i.e. for 314,363 is 113982

GCF of denominators i.e. for 57,5602 is 1.

Thus, LCM of Fractions is 113982.Finally, LCM of Fractions for 314/57, 363/5602 is 113982.