Least Common Multiple of 582/94, 150/54, 242/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 582/94, 150/54, 242/820 quickly i.e. 880275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 582/94, 150/54, 242/820 is 880275.

LCM(582/94, 150/54, 242/820) = 880275

LCM of 582/94, 150/54, 242/820

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 582/94,150/54,242/820

Given numbers are 582/94,150/54,242/820

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 582,150,242

Least Common Multiple of Numerators i.e. LCM of 582,150,242 is 1760550.

GCF of Denominators means GCF of 94,54,820 as per the given fractions.

GCF of 94,54,820 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 582,150,242

LCM of Fractions 582/94,150/54,242/820 is 880275

2 582, 150, 242
3 291, 75, 121
97, 25, 121

∴ So the LCM of the given numbers is 2 x 3 x 97 x 25 x 121 = 1760550

Least Common Multiple of 582,150,242 with GCF Formula

Least Common Multiple of 582,150,242 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 582,150,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,150,242) = 2

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

GCF(582,150,242) x common factors =2 x 6 = 12

LCM(582,150,242) = ( 582 × 150 × 242 ) / 12

LCM(582,150,242) = 21126600 / 12

LCM(582,150,242) = 1760550


Lets's calculate GCF of 94,54,820

2 94, 54, 820
47, 27, 410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1760550/2

Therefore the LCM of Fractions 582/94,150/54,242/820 is 880275

Greatest Common Factor of 94,54,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,54,820 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 94,54,820 . The biggest common factor number is the GCF number.
So the greatest common factor 94,54,820 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 582/94, 150/54, 242/820

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 582/94, 150/54, 242/820?

Answer: LCM of Numerators as per given numbers 582/94, 150/54, 242/820 is

LCM of Numerators i.e. for 582,150,242 is 1760550

GCF of denominators i.e. for 94,54,820 is 2.

Thus, LCM of Fractions is 880275.Finally, LCM of Fractions for 582/94, 150/54, 242/820 is 880275.