Least Common Multiple of 727/252, 840/861, 984/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 727/252, 840/861, 984/579 quickly i.e. 8345960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 727/252, 840/861, 984/579 is 8345960.

LCM(727/252, 840/861, 984/579) = 8345960

LCM of 727/252, 840/861, 984/579

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 727/252,840/861,984/579

Given numbers are 727/252,840/861,984/579

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 727,840,984

Least Common Multiple of Numerators i.e. LCM of 727,840,984 is 25037880.

GCF of Denominators means GCF of 252,861,579 as per the given fractions.

GCF of 252,861,579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 727,840,984

LCM of Fractions 727/252,840/861,984/579 is 8345960

2 727, 840, 984
2 727, 420, 492
2 727, 210, 246
3 727, 105, 123
727, 35, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 727 x 35 x 41 = 25037880

Least Common Multiple of 727,840,984 with GCF Formula

Least Common Multiple of 727,840,984 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 727,840,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,840,984) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(727,840,984) x common factors =1 x 24 = 24

LCM(727,840,984) = ( 727 × 840 × 984 ) / 24

LCM(727,840,984) = 600909120 / 24

LCM(727,840,984) = 25037880


Lets's calculate GCF of 252,861,579

3 252, 861, 579
84, 287, 193

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25037880/3

Therefore the LCM of Fractions 727/252,840/861,984/579 is 8345960

Greatest Common Factor of 252,861,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,861,579 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 252,861,579 . The biggest common factor number is the GCF number.
So the greatest common factor 252,861,579 is 3.


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 727/252, 840/861, 984/579

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 727/252, 840/861, 984/579?

Answer: LCM of Numerators as per given numbers 727/252, 840/861, 984/579 is

LCM of Numerators i.e. for 727,840,984 is 25037880

GCF of denominators i.e. for 252,861,579 is 3.

Thus, LCM of Fractions is 8345960.Finally, LCM of Fractions for 727/252, 840/861, 984/579 is 8345960.