Least Common Multiple of 24/11, 25/24, 47/45, 91/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/11, 25/24, 47/45, 91/928 quickly i.e. 2566200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/11, 25/24, 47/45, 91/928 is 2566200.

LCM(24/11, 25/24, 47/45, 91/928) = 2566200

LCM of 24/11, 25/24, 47/45, 91/928

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 24/11,25/24,47/45,91/928

Given numbers are 24/11,25/24,47/45,91/928

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 24,25,47,91

Least Common Multiple of Numerators i.e. LCM of 24,25,47,91 is 2566200.

GCF of Denominators means GCF of 11,24,45,928 as per the given fractions.

GCF of 11,24,45,928 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,25,47,91

LCM of Fractions 24/11,25/24,47/45,91/928 is 2566200

Given numbers has no common factors except 1. So, there LCM is their product i.e 2566200

Least Common Multiple of 24,25,47,91 with GCF Formula

Least Common Multiple of 24,25,47,91 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 24,25,47,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,25,47,91) = 1

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

GCF(24,25,47,91) x common factors =1 x 1 = 1

LCM(24,25,47,91) = ( 24 × 25 × 47 × 91 ) / 1

LCM(24,25,47,91) = 2566200 / 1

LCM(24,25,47,91) = 2566200


Lets's calculate GCF of 11,24,45,928

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2566200/1

Therefore the LCM of Fractions 24/11,25/24,47/45,91/928 is 2566200

Greatest Common Factor of 11,24,45,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,24,45,928 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 11,24,45,928 . The biggest common factor number is the GCF number.
So the greatest common factor 11,24,45,928 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 24/11, 25/24, 47/45, 91/928

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 24/11, 25/24, 47/45, 91/928?

Answer: LCM of Numerators as per given numbers 24/11, 25/24, 47/45, 91/928 is

LCM of Numerators i.e. for 24,25,47,91 is 2566200

GCF of denominators i.e. for 11,24,45,928 is 1.

Thus, LCM of Fractions is 2566200.Finally, LCM of Fractions for 24/11, 25/24, 47/45, 91/928 is 2566200.