Least Common Multiple of 7340/336, 8640/6746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7340/336, 8640/6746 quickly i.e. 1585440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7340/336, 8640/6746 is 1585440.

LCM(7340/336, 8640/6746) = 1585440

LCM of 7340/336, 8640/6746

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 7340/336,8640/6746

Given numbers are 7340/336,8640/6746

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 7340,8640

Least Common Multiple of Numerators i.e. LCM of 7340,8640 is 3170880.

GCF of Denominators means GCF of 336,6746 as per the given fractions.

GCF of 336,6746 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7340,8640

LCM of Fractions 7340/336,8640/6746 is 1585440

2 7340, 8640
2 3670, 4320
5 1835, 2160
367, 432

∴ So the LCM of the given numbers is 2 x 2 x 5 x 367 x 432 = 3170880

Least Common Multiple of 7340,8640 with GCF Formula

Least Common Multiple of 7340,8640 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 7340,8640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7340,8640) = 20

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

GCF(7340,8640) x common factors =20 x 1 = 20

LCM(7340,8640) = ( 7340 × 8640 ) / 20

LCM(7340,8640) = 63417600 / 20

LCM(7340,8640) = 3170880


Lets's calculate GCF of 336,6746

2 336, 6746
168, 3373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3170880/2

Therefore the LCM of Fractions 7340/336,8640/6746 is 1585440

Greatest Common Factor of 336,6746 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,6746 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 6746

List of positive integer factors of 6746 that divides 6746 without a remainder.

1,2,3373,6746

Greatest Common Factor

We found the factors 336,6746 . The biggest common factor number is the GCF number.
So the greatest common factor 336,6746 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 7340/336, 8640/6746

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 7340/336, 8640/6746?

Answer: LCM of Numerators as per given numbers 7340/336, 8640/6746 is

LCM of Numerators i.e. for 7340,8640 is 3170880

GCF of denominators i.e. for 336,6746 is 2.

Thus, LCM of Fractions is 1585440.Finally, LCM of Fractions for 7340/336, 8640/6746 is 1585440.