Least Common Multiple of 24/496, 9134/8864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/496, 9134/8864 quickly i.e. 109608/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/496, 9134/8864 is 109608/16.

LCM(24/496, 9134/8864) = 109608/16

LCM of 24/496, 9134/8864

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 24/496,9134/8864

Given numbers are 24/496,9134/8864

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 24,9134

Least Common Multiple of Numerators i.e. LCM of 24,9134 is 109608.

GCF of Denominators means GCF of 496,8864 as per the given fractions.

GCF of 496,8864 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,9134

LCM of Fractions 24/496,9134/8864 is 109608/16

2 24, 9134
12, 4567

∴ So the LCM of the given numbers is 2 x 12 x 4567 = 109608

Least Common Multiple of 24,9134 with GCF Formula

Least Common Multiple of 24,9134 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 24,9134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,9134) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(24,9134) x common factors =2 x 1 = 2

LCM(24,9134) = ( 24 × 9134 ) / 2

LCM(24,9134) = 219216 / 2

LCM(24,9134) = 109608


Lets's calculate GCF of 496,8864

2 496, 8864
2 248, 4432
2 124, 2216
2 62, 1108
31, 554

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109608/16

Therefore the LCM of Fractions 24/496,9134/8864 is 109608/16

Greatest Common Factor of 496,8864 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,8864 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 8864

List of positive integer factors of 8864 that divides 8864 without a remainder.

1,2,4,8,16,32,277,554,1108,2216,4432,8864

Greatest Common Factor

We found the factors 496,8864 . The biggest common factor number is the GCF number.
So the greatest common factor 496,8864 is 16.


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 24/496, 9134/8864

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 24/496, 9134/8864?

Answer: LCM of Numerators as per given numbers 24/496, 9134/8864 is

LCM of Numerators i.e. for 24,9134 is 109608

GCF of denominators i.e. for 496,8864 is 16.

Thus, LCM of Fractions is 109608/16.Finally, LCM of Fractions for 24/496, 9134/8864 is 109608/16.