Least Common Multiple of 24/155, 164/223, 222/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/155, 164/223, 222/584 quickly i.e. 36408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/155, 164/223, 222/584 is 36408.

LCM(24/155, 164/223, 222/584) = 36408

LCM of 24/155, 164/223, 222/584

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 24/155,164/223,222/584

Given numbers are 24/155,164/223,222/584

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 24,164,222

Least Common Multiple of Numerators i.e. LCM of 24,164,222 is 36408.

GCF of Denominators means GCF of 155,223,584 as per the given fractions.

GCF of 155,223,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,164,222

LCM of Fractions 24/155,164/223,222/584 is 36408

2 24, 164, 222
2 12, 82, 111
3 6, 41, 111
2, 41, 37

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 41 x 37 = 36408

Least Common Multiple of 24,164,222 with GCF Formula

Least Common Multiple of 24,164,222 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 24,164,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,164,222) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(24,164,222) x common factors =2 x 12 = 24

LCM(24,164,222) = ( 24 × 164 × 222 ) / 24

LCM(24,164,222) = 873792 / 24

LCM(24,164,222) = 36408


Lets's calculate GCF of 155,223,584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36408/1

Therefore the LCM of Fractions 24/155,164/223,222/584 is 36408

Greatest Common Factor of 155,223,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 155,223,584 By Matching Biggest Common Factor Method

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 155,223,584 . The biggest common factor number is the GCF number.
So the greatest common factor 155,223,584 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 24/155, 164/223, 222/584

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 24/155, 164/223, 222/584?

Answer: LCM of Numerators as per given numbers 24/155, 164/223, 222/584 is

LCM of Numerators i.e. for 24,164,222 is 36408

GCF of denominators i.e. for 155,223,584 is 1.

Thus, LCM of Fractions is 36408.Finally, LCM of Fractions for 24/155, 164/223, 222/584 is 36408.