Least Common Multiple of 2246/599, 6480/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2246/599, 6480/340 quickly i.e. 7277040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2246/599, 6480/340 is 7277040.

LCM(2246/599, 6480/340) = 7277040

LCM of 2246/599, 6480/340

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 2246/599,6480/340

Given numbers are 2246/599,6480/340

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 2246,6480

Least Common Multiple of Numerators i.e. LCM of 2246,6480 is 7277040.

GCF of Denominators means GCF of 599,340 as per the given fractions.

GCF of 599,340 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2246,6480

LCM of Fractions 2246/599,6480/340 is 7277040

2 2246, 6480
1123, 3240

∴ So the LCM of the given numbers is 2 x 1123 x 3240 = 7277040

Least Common Multiple of 2246,6480 with GCF Formula

Least Common Multiple of 2246,6480 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 2246,6480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2246,6480) = 2

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

GCF(2246,6480) x common factors =2 x 1 = 2

LCM(2246,6480) = ( 2246 × 6480 ) / 2

LCM(2246,6480) = 14554080 / 2

LCM(2246,6480) = 7277040


Lets's calculate GCF of 599,340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7277040/1

Therefore the LCM of Fractions 2246/599,6480/340 is 7277040

Greatest Common Factor of 599,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,340 By Matching Biggest Common Factor Method

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 599,340 . The biggest common factor number is the GCF number.
So the greatest common factor 599,340 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2246/599, 6480/340

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 2246/599, 6480/340?

Answer: LCM of Numerators as per given numbers 2246/599, 6480/340 is

LCM of Numerators i.e. for 2246,6480 is 7277040

GCF of denominators i.e. for 599,340 is 1.

Thus, LCM of Fractions is 7277040.Finally, LCM of Fractions for 2246/599, 6480/340 is 7277040.