Least Common Multiple of 1002/622, 3067/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1002/622, 3067/614 quickly i.e. 1536567 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1002/622, 3067/614 is 1536567.

LCM(1002/622, 3067/614) = 1536567

LCM of 1002/622, 3067/614

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 1002/622,3067/614

Given numbers are 1002/622,3067/614

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 1002,3067

Least Common Multiple of Numerators i.e. LCM of 1002,3067 is 3073134.

GCF of Denominators means GCF of 622,614 as per the given fractions.

GCF of 622,614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1002,3067

LCM of Fractions 1002/622,3067/614 is 1536567

Given numbers has no common factors except 1. So, there LCM is their product i.e 3073134

Least Common Multiple of 1002,3067 with GCF Formula

Least Common Multiple of 1002,3067 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 1002,3067 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1002,3067) = 1

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

GCF(1002,3067) x common factors =1 x 1 = 1

LCM(1002,3067) = ( 1002 × 3067 ) / 1

LCM(1002,3067) = 3073134 / 1

LCM(1002,3067) = 3073134


Lets's calculate GCF of 622,614

2 622, 614
311, 307

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3073134/2

Therefore the LCM of Fractions 1002/622,3067/614 is 1536567

Greatest Common Factor of 622,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 622,614 By Matching Biggest Common Factor Method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 622,614 . The biggest common factor number is the GCF number.
So the greatest common factor 622,614 is 2.


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 1002/622, 3067/614

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 1002/622, 3067/614?

Answer: LCM of Numerators as per given numbers 1002/622, 3067/614 is

LCM of Numerators i.e. for 1002,3067 is 3073134

GCF of denominators i.e. for 622,614 is 2.

Thus, LCM of Fractions is 1536567.Finally, LCM of Fractions for 1002/622, 3067/614 is 1536567.