Least Common Multiple of 24/245, 728/134, 223/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/245, 728/134, 223/555 quickly i.e. 487032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/245, 728/134, 223/555 is 487032.

LCM(24/245, 728/134, 223/555) = 487032

LCM of 24/245, 728/134, 223/555

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 24/245,728/134,223/555

Given numbers are 24/245,728/134,223/555

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 24,728,223

Least Common Multiple of Numerators i.e. LCM of 24,728,223 is 487032.

GCF of Denominators means GCF of 245,134,555 as per the given fractions.

GCF of 245,134,555 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,728,223

LCM of Fractions 24/245,728/134,223/555 is 487032

2 24, 728, 223
2 12, 364, 223
2 6, 182, 223
3, 91, 223

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 91 x 223 = 487032

Least Common Multiple of 24,728,223 with GCF Formula

Least Common Multiple of 24,728,223 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 24,728,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,728,223) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(24,728,223) x common factors =1 x 8 = 8

LCM(24,728,223) = ( 24 × 728 × 223 ) / 8

LCM(24,728,223) = 3896256 / 8

LCM(24,728,223) = 487032


Lets's calculate GCF of 245,134,555

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 487032/1

Therefore the LCM of Fractions 24/245,728/134,223/555 is 487032

Greatest Common Factor of 245,134,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,134,555 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 245,134,555 . The biggest common factor number is the GCF number.
So the greatest common factor 245,134,555 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 24/245, 728/134, 223/555

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 24/245, 728/134, 223/555?

Answer: LCM of Numerators as per given numbers 24/245, 728/134, 223/555 is

LCM of Numerators i.e. for 24,728,223 is 487032

GCF of denominators i.e. for 245,134,555 is 1.

Thus, LCM of Fractions is 487032.Finally, LCM of Fractions for 24/245, 728/134, 223/555 is 487032.