Least Common Multiple of 3014/903, 6380/6761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3014/903, 6380/6761 quickly i.e. 874060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3014/903, 6380/6761 is 874060.

LCM(3014/903, 6380/6761) = 874060

LCM of 3014/903, 6380/6761

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 3014/903,6380/6761

Given numbers are 3014/903,6380/6761

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 3014,6380

Least Common Multiple of Numerators i.e. LCM of 3014,6380 is 874060.

GCF of Denominators means GCF of 903,6761 as per the given fractions.

GCF of 903,6761 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3014,6380

LCM of Fractions 3014/903,6380/6761 is 874060

2 3014, 6380
11 1507, 3190
137, 290

∴ So the LCM of the given numbers is 2 x 11 x 137 x 290 = 874060

Least Common Multiple of 3014,6380 with GCF Formula

Least Common Multiple of 3014,6380 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 3014,6380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3014,6380) = 22

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

GCF(3014,6380) x common factors =22 x 1 = 22

LCM(3014,6380) = ( 3014 × 6380 ) / 22

LCM(3014,6380) = 19229320 / 22

LCM(3014,6380) = 874060


Lets's calculate GCF of 903,6761

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 874060/1

Therefore the LCM of Fractions 3014/903,6380/6761 is 874060

Greatest Common Factor of 903,6761 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,6761 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 6761

List of positive integer factors of 6761 that divides 6761 without a remainder.

1,6761

Greatest Common Factor

We found the factors 903,6761 . The biggest common factor number is the GCF number.
So the greatest common factor 903,6761 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 3014/903, 6380/6761

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 3014/903, 6380/6761?

Answer: LCM of Numerators as per given numbers 3014/903, 6380/6761 is

LCM of Numerators i.e. for 3014,6380 is 874060

GCF of denominators i.e. for 903,6761 is 1.

Thus, LCM of Fractions is 874060.Finally, LCM of Fractions for 3014/903, 6380/6761 is 874060.