Least Common Multiple of 618/40, 974/56, 444/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 618/40, 974/56, 444/609 quickly i.e. 22271484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 618/40, 974/56, 444/609 is 22271484.

LCM(618/40, 974/56, 444/609) = 22271484

LCM of 618/40, 974/56, 444/609

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 618/40,974/56,444/609

Given numbers are 618/40,974/56,444/609

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 618,974,444

Least Common Multiple of Numerators i.e. LCM of 618,974,444 is 22271484.

GCF of Denominators means GCF of 40,56,609 as per the given fractions.

GCF of 40,56,609 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 618,974,444

LCM of Fractions 618/40,974/56,444/609 is 22271484

2 618, 974, 444
3 309, 487, 222
103, 487, 74

∴ So the LCM of the given numbers is 2 x 3 x 103 x 487 x 74 = 22271484

Least Common Multiple of 618,974,444 with GCF Formula

Least Common Multiple of 618,974,444 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 618,974,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,974,444) = 2

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

GCF(618,974,444) x common factors =2 x 6 = 12

LCM(618,974,444) = ( 618 × 974 × 444 ) / 12

LCM(618,974,444) = 267257808 / 12

LCM(618,974,444) = 22271484


Lets's calculate GCF of 40,56,609

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22271484/1

Therefore the LCM of Fractions 618/40,974/56,444/609 is 22271484

Greatest Common Factor of 40,56,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,56,609 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 40,56,609 . The biggest common factor number is the GCF number.
So the greatest common factor 40,56,609 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 618/40, 974/56, 444/609

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 618/40, 974/56, 444/609?

Answer: LCM of Numerators as per given numbers 618/40, 974/56, 444/609 is

LCM of Numerators i.e. for 618,974,444 is 22271484

GCF of denominators i.e. for 40,56,609 is 1.

Thus, LCM of Fractions is 22271484.Finally, LCM of Fractions for 618/40, 974/56, 444/609 is 22271484.