Least Common Multiple of 587/73, 427/61, 245/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 587/73, 427/61, 245/84 quickly i.e. 8772715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 587/73, 427/61, 245/84 is 8772715.

LCM(587/73, 427/61, 245/84) = 8772715

LCM of 587/73, 427/61, 245/84

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 587/73,427/61,245/84

Given numbers are 587/73,427/61,245/84

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 587,427,245

Least Common Multiple of Numerators i.e. LCM of 587,427,245 is 8772715.

GCF of Denominators means GCF of 73,61,84 as per the given fractions.

GCF of 73,61,84 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 587,427,245

LCM of Fractions 587/73,427/61,245/84 is 8772715

7 587, 427, 245
587, 61, 35

∴ So the LCM of the given numbers is 7 x 587 x 61 x 35 = 8772715

Least Common Multiple of 587,427,245 with GCF Formula

Least Common Multiple of 587,427,245 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 587,427,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,427,245) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(587,427,245) x common factors =1 x 7 = 7

LCM(587,427,245) = ( 587 × 427 × 245 ) / 7

LCM(587,427,245) = 61409005 / 7

LCM(587,427,245) = 8772715


Lets's calculate GCF of 73,61,84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8772715/1

Therefore the LCM of Fractions 587/73,427/61,245/84 is 8772715

Greatest Common Factor of 73,61,84 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,61,84 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Greatest Common Factor

We found the factors 73,61,84 . The biggest common factor number is the GCF number.
So the greatest common factor 73,61,84 is 1.


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 587/73, 427/61, 245/84

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 587/73, 427/61, 245/84?

Answer: LCM of Numerators as per given numbers 587/73, 427/61, 245/84 is

LCM of Numerators i.e. for 587,427,245 is 8772715

GCF of denominators i.e. for 73,61,84 is 1.

Thus, LCM of Fractions is 8772715.Finally, LCM of Fractions for 587/73, 427/61, 245/84 is 8772715.