Least Common Multiple of 54/90, 53/10, 18/22, 85/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 54/90, 53/10, 18/22, 85/673 quickly i.e. 243270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/90, 53/10, 18/22, 85/673 is 243270.

LCM(54/90, 53/10, 18/22, 85/673) = 243270

LCM of 54/90, 53/10, 18/22, 85/673

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 54/90,53/10,18/22,85/673

Given numbers are 54/90,53/10,18/22,85/673

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 54,53,18,85

Least Common Multiple of Numerators i.e. LCM of 54,53,18,85 is 243270.

GCF of Denominators means GCF of 90,10,22,673 as per the given fractions.

GCF of 90,10,22,673 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,53,18,85

LCM of Fractions 54/90,53/10,18/22,85/673 is 243270

2 54, 53, 18, 85
3 27, 53, 9, 85
3 3, 53, 9, 85
1, 53, 3, 85

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 53 x 3 x 85 = 243270

Least Common Multiple of 54,53,18,85 with GCF Formula

Least Common Multiple of 54,53,18,85 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 54,53,18,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,53,18,85) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(54,53,18,85) x common factors =1 x 18 = 18

LCM(54,53,18,85) = ( 54 × 53 × 18 × 85 ) / 18

LCM(54,53,18,85) = 4378860 / 18

LCM(54,53,18,85) = 243270


Lets's calculate GCF of 90,10,22,673

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243270/1

Therefore the LCM of Fractions 54/90,53/10,18/22,85/673 is 243270

Greatest Common Factor of 90,10,22,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,10,22,673 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Greatest Common Factor

We found the factors 90,10,22,673 . The biggest common factor number is the GCF number.
So the greatest common factor 90,10,22,673 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 54/90, 53/10, 18/22, 85/673

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 54/90, 53/10, 18/22, 85/673?

Answer: LCM of Numerators as per given numbers 54/90, 53/10, 18/22, 85/673 is

LCM of Numerators i.e. for 54,53,18,85 is 243270

GCF of denominators i.e. for 90,10,22,673 is 1.

Thus, LCM of Fractions is 243270.Finally, LCM of Fractions for 54/90, 53/10, 18/22, 85/673 is 243270.