Least Common Multiple of 34/303, 7713/2160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/303, 7713/2160 quickly i.e. 87414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/303, 7713/2160 is 87414.

LCM(34/303, 7713/2160) = 87414

LCM of 34/303, 7713/2160

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 34/303,7713/2160

Given numbers are 34/303,7713/2160

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 34,7713

Least Common Multiple of Numerators i.e. LCM of 34,7713 is 262242.

GCF of Denominators means GCF of 303,2160 as per the given fractions.

GCF of 303,2160 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,7713

LCM of Fractions 34/303,7713/2160 is 87414

Given numbers has no common factors except 1. So, there LCM is their product i.e 262242

Least Common Multiple of 34,7713 with GCF Formula

Least Common Multiple of 34,7713 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 34,7713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,7713) = 1

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

GCF(34,7713) x common factors =1 x 1 = 1

LCM(34,7713) = ( 34 × 7713 ) / 1

LCM(34,7713) = 262242 / 1

LCM(34,7713) = 262242


Lets's calculate GCF of 303,2160

3 303, 2160
101, 720

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262242/3

Therefore the LCM of Fractions 34/303,7713/2160 is 87414

Greatest Common Factor of 303,2160 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,2160 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 2160

List of positive integer factors of 2160 that divides 2160 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,90,108,120,135,144,180,216,240,270,360,432,540,720,1080,2160

Greatest Common Factor

We found the factors 303,2160 . The biggest common factor number is the GCF number.
So the greatest common factor 303,2160 is 3.


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 34/303, 7713/2160

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 34/303, 7713/2160?

Answer: LCM of Numerators as per given numbers 34/303, 7713/2160 is

LCM of Numerators i.e. for 34,7713 is 262242

GCF of denominators i.e. for 303,2160 is 3.

Thus, LCM of Fractions is 87414.Finally, LCM of Fractions for 34/303, 7713/2160 is 87414.