Least Common Multiple of 55/65, 324/66, 582/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/65, 324/66, 582/568 quickly i.e. 1728540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/65, 324/66, 582/568 is 1728540.

LCM(55/65, 324/66, 582/568) = 1728540

LCM of 55/65, 324/66, 582/568

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 55/65,324/66,582/568

Given numbers are 55/65,324/66,582/568

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 55,324,582

Least Common Multiple of Numerators i.e. LCM of 55,324,582 is 1728540.

GCF of Denominators means GCF of 65,66,568 as per the given fractions.

GCF of 65,66,568 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,324,582

LCM of Fractions 55/65,324/66,582/568 is 1728540

2 55, 324, 582
3 55, 162, 291
55, 54, 97

∴ So the LCM of the given numbers is 2 x 3 x 55 x 54 x 97 = 1728540

Least Common Multiple of 55,324,582 with GCF Formula

Least Common Multiple of 55,324,582 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 55,324,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,324,582) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(55,324,582) x common factors =1 x 6 = 6

LCM(55,324,582) = ( 55 × 324 × 582 ) / 6

LCM(55,324,582) = 10371240 / 6

LCM(55,324,582) = 1728540


Lets's calculate GCF of 65,66,568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1728540/1

Therefore the LCM of Fractions 55/65,324/66,582/568 is 1728540

Greatest Common Factor of 65,66,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,66,568 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 65,66,568 . The biggest common factor number is the GCF number.
So the greatest common factor 65,66,568 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/65, 324/66, 582/568

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 55/65, 324/66, 582/568?

Answer: LCM of Numerators as per given numbers 55/65, 324/66, 582/568 is

LCM of Numerators i.e. for 55,324,582 is 1728540

GCF of denominators i.e. for 65,66,568 is 1.

Thus, LCM of Fractions is 1728540.Finally, LCM of Fractions for 55/65, 324/66, 582/568 is 1728540.