Least Common Multiple of 27/280, 61/624, 173/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/280, 61/624, 173/810 quickly i.e. 284931/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/280, 61/624, 173/810 is 284931/2.

LCM(27/280, 61/624, 173/810) = 284931/2

LCM of 27/280, 61/624, 173/810

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 27/280,61/624,173/810

Given numbers are 27/280,61/624,173/810

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 27,61,173

Least Common Multiple of Numerators i.e. LCM of 27,61,173 is 284931.

GCF of Denominators means GCF of 280,624,810 as per the given fractions.

GCF of 280,624,810 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,61,173

LCM of Fractions 27/280,61/624,173/810 is 284931/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 284931

Least Common Multiple of 27,61,173 with GCF Formula

Least Common Multiple of 27,61,173 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 27,61,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,61,173) = 1

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

GCF(27,61,173) x common factors =1 x 1 = 1

LCM(27,61,173) = ( 27 × 61 × 173 ) / 1

LCM(27,61,173) = 284931 / 1

LCM(27,61,173) = 284931


Lets's calculate GCF of 280,624,810

2 280, 624, 810
140, 312, 405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 284931/2

Therefore the LCM of Fractions 27/280,61/624,173/810 is 284931/2

Greatest Common Factor of 280,624,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,624,810 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 280,624,810 . The biggest common factor number is the GCF number.
So the greatest common factor 280,624,810 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 27/280, 61/624, 173/810

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 27/280, 61/624, 173/810?

Answer: LCM of Numerators as per given numbers 27/280, 61/624, 173/810 is

LCM of Numerators i.e. for 27,61,173 is 284931

GCF of denominators i.e. for 280,624,810 is 2.

Thus, LCM of Fractions is 284931/2.Finally, LCM of Fractions for 27/280, 61/624, 173/810 is 284931/2.