Least Common Multiple of 2740/734, 6596/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2740/734, 6596/748 quickly i.e. 2259130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2740/734, 6596/748 is 2259130.

LCM(2740/734, 6596/748) = 2259130

LCM of 2740/734, 6596/748

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 2740/734,6596/748

Given numbers are 2740/734,6596/748

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 2740,6596

Least Common Multiple of Numerators i.e. LCM of 2740,6596 is 4518260.

GCF of Denominators means GCF of 734,748 as per the given fractions.

GCF of 734,748 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2740,6596

LCM of Fractions 2740/734,6596/748 is 2259130

2 2740, 6596
2 1370, 3298
685, 1649

∴ So the LCM of the given numbers is 2 x 2 x 685 x 1649 = 4518260

Least Common Multiple of 2740,6596 with GCF Formula

Least Common Multiple of 2740,6596 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 2740,6596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2740,6596) = 4

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

GCF(2740,6596) x common factors =4 x 1 = 4

LCM(2740,6596) = ( 2740 × 6596 ) / 4

LCM(2740,6596) = 18073040 / 4

LCM(2740,6596) = 4518260


Lets's calculate GCF of 734,748

2 734, 748
367, 374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4518260/2

Therefore the LCM of Fractions 2740/734,6596/748 is 2259130

Greatest Common Factor of 734,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,748 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 734,748 . The biggest common factor number is the GCF number.
So the greatest common factor 734,748 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 2740/734, 6596/748

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 2740/734, 6596/748?

Answer: LCM of Numerators as per given numbers 2740/734, 6596/748 is

LCM of Numerators i.e. for 2740,6596 is 4518260

GCF of denominators i.e. for 734,748 is 2.

Thus, LCM of Fractions is 2259130.Finally, LCM of Fractions for 2740/734, 6596/748 is 2259130.