Least Common Multiple of 24/87, 50/58, 403/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/87, 50/58, 403/899 quickly i.e. 241800/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/87, 50/58, 403/899 is 241800/29.

LCM(24/87, 50/58, 403/899) = 241800/29

LCM of 24/87, 50/58, 403/899

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 24/87,50/58,403/899

Given numbers are 24/87,50/58,403/899

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 24,50,403

Least Common Multiple of Numerators i.e. LCM of 24,50,403 is 241800.

GCF of Denominators means GCF of 87,58,899 as per the given fractions.

GCF of 87,58,899 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,50,403

LCM of Fractions 24/87,50/58,403/899 is 241800/29

2 24, 50, 403
12, 25, 403

∴ So the LCM of the given numbers is 2 x 12 x 25 x 403 = 241800

Least Common Multiple of 24,50,403 with GCF Formula

Least Common Multiple of 24,50,403 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 24,50,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,50,403) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(24,50,403) x common factors =1 x 2 = 2

LCM(24,50,403) = ( 24 × 50 × 403 ) / 2

LCM(24,50,403) = 483600 / 2

LCM(24,50,403) = 241800


Lets's calculate GCF of 87,58,899

29 87, 58, 899
3, 2, 31

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241800/29

Therefore the LCM of Fractions 24/87,50/58,403/899 is 241800/29

Greatest Common Factor of 87,58,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,58,899 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 87,58,899 . The biggest common factor number is the GCF number.
So the greatest common factor 87,58,899 is 29.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 24/87, 50/58, 403/899

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 24/87, 50/58, 403/899?

Answer: LCM of Numerators as per given numbers 24/87, 50/58, 403/899 is

LCM of Numerators i.e. for 24,50,403 is 241800

GCF of denominators i.e. for 87,58,899 is 29.

Thus, LCM of Fractions is 241800/29.Finally, LCM of Fractions for 24/87, 50/58, 403/899 is 241800/29.