Least Common Multiple of 45/76, 31/24, 32/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/76, 31/24, 32/584 quickly i.e. 11160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/76, 31/24, 32/584 is 11160.

LCM(45/76, 31/24, 32/584) = 11160

LCM of 45/76, 31/24, 32/584

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 45/76,31/24,32/584

Given numbers are 45/76,31/24,32/584

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 45,31,32

Least Common Multiple of Numerators i.e. LCM of 45,31,32 is 44640.

GCF of Denominators means GCF of 76,24,584 as per the given fractions.

GCF of 76,24,584 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,31,32

LCM of Fractions 45/76,31/24,32/584 is 11160

Given numbers has no common factors except 1. So, there LCM is their product i.e 44640

Least Common Multiple of 45,31,32 with GCF Formula

Least Common Multiple of 45,31,32 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 45,31,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,31,32) = 1

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

GCF(45,31,32) x common factors =1 x 1 = 1

LCM(45,31,32) = ( 45 × 31 × 32 ) / 1

LCM(45,31,32) = 44640 / 1

LCM(45,31,32) = 44640


Lets's calculate GCF of 76,24,584

2 76, 24, 584
2 38, 12, 292
19, 6, 146

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44640/4

Therefore the LCM of Fractions 45/76,31/24,32/584 is 11160

Greatest Common Factor of 76,24,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,24,584 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

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 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 76,24,584 . The biggest common factor number is the GCF number.
So the greatest common factor 76,24,584 is 4.


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 45/76, 31/24, 32/584

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 45/76, 31/24, 32/584?

Answer: LCM of Numerators as per given numbers 45/76, 31/24, 32/584 is

LCM of Numerators i.e. for 45,31,32 is 44640

GCF of denominators i.e. for 76,24,584 is 4.

Thus, LCM of Fractions is 11160.Finally, LCM of Fractions for 45/76, 31/24, 32/584 is 11160.