Least Common Multiple of 3002/687, 3394/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3002/687, 3394/134 quickly i.e. 5094394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3002/687, 3394/134 is 5094394.

LCM(3002/687, 3394/134) = 5094394

LCM of 3002/687, 3394/134

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 3002/687,3394/134

Given numbers are 3002/687,3394/134

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 3002,3394

Least Common Multiple of Numerators i.e. LCM of 3002,3394 is 5094394.

GCF of Denominators means GCF of 687,134 as per the given fractions.

GCF of 687,134 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3002,3394

LCM of Fractions 3002/687,3394/134 is 5094394

2 3002, 3394
1501, 1697

∴ So the LCM of the given numbers is 2 x 1501 x 1697 = 5094394

Least Common Multiple of 3002,3394 with GCF Formula

Least Common Multiple of 3002,3394 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 3002,3394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3002,3394) = 2

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

GCF(3002,3394) x common factors =2 x 1 = 2

LCM(3002,3394) = ( 3002 × 3394 ) / 2

LCM(3002,3394) = 10188788 / 2

LCM(3002,3394) = 5094394


Lets's calculate GCF of 687,134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5094394/1

Therefore the LCM of Fractions 3002/687,3394/134 is 5094394

Greatest Common Factor of 687,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,134 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 687,134 . The biggest common factor number is the GCF number.
So the greatest common factor 687,134 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3002/687, 3394/134

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 3002/687, 3394/134?

Answer: LCM of Numerators as per given numbers 3002/687, 3394/134 is

LCM of Numerators i.e. for 3002,3394 is 5094394

GCF of denominators i.e. for 687,134 is 1.

Thus, LCM of Fractions is 5094394.Finally, LCM of Fractions for 3002/687, 3394/134 is 5094394.