Least Common Multiple of 594/41, 660/82, 537/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 594/41, 660/82, 537/748 quickly i.e. 1063260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 594/41, 660/82, 537/748 is 1063260.

LCM(594/41, 660/82, 537/748) = 1063260

LCM of 594/41, 660/82, 537/748

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 594/41,660/82,537/748

Given numbers are 594/41,660/82,537/748

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 594,660,537

Least Common Multiple of Numerators i.e. LCM of 594,660,537 is 1063260.

GCF of Denominators means GCF of 41,82,748 as per the given fractions.

GCF of 41,82,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 594,660,537

LCM of Fractions 594/41,660/82,537/748 is 1063260

2 594, 660, 537
3 297, 330, 537
11 99, 110, 179
9, 10, 179

∴ So the LCM of the given numbers is 2 x 3 x 11 x 9 x 10 x 179 = 1063260

Least Common Multiple of 594,660,537 with GCF Formula

Least Common Multiple of 594,660,537 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 594,660,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,660,537) = 3

common factors(in case of two or more numbers have common factors) = 66

GCF(594,660,537) x common factors =3 x 66 = 198

LCM(594,660,537) = ( 594 × 660 × 537 ) / 198

LCM(594,660,537) = 210525480 / 198

LCM(594,660,537) = 1063260


Lets's calculate GCF of 41,82,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1063260/1

Therefore the LCM of Fractions 594/41,660/82,537/748 is 1063260

Greatest Common Factor of 41,82,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,82,748 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

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 41,82,748 . The biggest common factor number is the GCF number.
So the greatest common factor 41,82,748 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 594/41, 660/82, 537/748

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 594/41, 660/82, 537/748?

Answer: LCM of Numerators as per given numbers 594/41, 660/82, 537/748 is

LCM of Numerators i.e. for 594,660,537 is 1063260

GCF of denominators i.e. for 41,82,748 is 1.

Thus, LCM of Fractions is 1063260.Finally, LCM of Fractions for 594/41, 660/82, 537/748 is 1063260.