Least Common Multiple of 6968/802, 2948/4009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6968/802, 2948/4009 quickly i.e. 76648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6968/802, 2948/4009 is 76648.

LCM(6968/802, 2948/4009) = 76648

LCM of 6968/802, 2948/4009

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 6968/802,2948/4009

Given numbers are 6968/802,2948/4009

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 6968,2948

Least Common Multiple of Numerators i.e. LCM of 6968,2948 is 76648.

GCF of Denominators means GCF of 802,4009 as per the given fractions.

GCF of 802,4009 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6968,2948

LCM of Fractions 6968/802,2948/4009 is 76648

2 6968, 2948
2 3484, 1474
67 1742, 737
26, 11

∴ So the LCM of the given numbers is 2 x 2 x 67 x 26 x 11 = 76648

Least Common Multiple of 6968,2948 with GCF Formula

Least Common Multiple of 6968,2948 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 6968,2948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6968,2948) = 268

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

GCF(6968,2948) x common factors =268 x 1 = 268

LCM(6968,2948) = ( 6968 × 2948 ) / 268

LCM(6968,2948) = 20541664 / 268

LCM(6968,2948) = 76648


Lets's calculate GCF of 802,4009

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76648/1

Therefore the LCM of Fractions 6968/802,2948/4009 is 76648

Greatest Common Factor of 802,4009 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,4009 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 4009

List of positive integer factors of 4009 that divides 4009 without a remainder.

1,19,211,4009

Greatest Common Factor

We found the factors 802,4009 . The biggest common factor number is the GCF number.
So the greatest common factor 802,4009 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 6968/802, 2948/4009

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 6968/802, 2948/4009?

Answer: LCM of Numerators as per given numbers 6968/802, 2948/4009 is

LCM of Numerators i.e. for 6968,2948 is 76648

GCF of denominators i.e. for 802,4009 is 1.

Thus, LCM of Fractions is 76648.Finally, LCM of Fractions for 6968/802, 2948/4009 is 76648.