Least Common Multiple of 4/560, 24/832, 73/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4/560, 24/832, 73/640 quickly i.e. 1752/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/560, 24/832, 73/640 is 1752/16.

LCM(4/560, 24/832, 73/640) = 1752/16

LCM of 4/560, 24/832, 73/640

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 4/560,24/832,73/640

Given numbers are 4/560,24/832,73/640

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 4,24,73

Least Common Multiple of Numerators i.e. LCM of 4,24,73 is 1752.

GCF of Denominators means GCF of 560,832,640 as per the given fractions.

GCF of 560,832,640 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,24,73

LCM of Fractions 4/560,24/832,73/640 is 1752/16

2 4, 24, 73
2 2, 12, 73
1, 6, 73

∴ So the LCM of the given numbers is 2 x 2 x 1 x 6 x 73 = 1752

Least Common Multiple of 4,24,73 with GCF Formula

Least Common Multiple of 4,24,73 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 4,24,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,24,73) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(4,24,73) x common factors =1 x 4 = 4

LCM(4,24,73) = ( 4 × 24 × 73 ) / 4

LCM(4,24,73) = 7008 / 4

LCM(4,24,73) = 1752


Lets's calculate GCF of 560,832,640

2 560, 832, 640
2 280, 416, 320
2 140, 208, 160
2 70, 104, 80
35, 52, 40

∴ 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 = 1752/16

Therefore the LCM of Fractions 4/560,24/832,73/640 is 1752/16

Greatest Common Factor of 560,832,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,832,640 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 560,832,640 . The biggest common factor number is the GCF number.
So the greatest common factor 560,832,640 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 4/560, 24/832, 73/640

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 4/560, 24/832, 73/640?

Answer: LCM of Numerators as per given numbers 4/560, 24/832, 73/640 is

LCM of Numerators i.e. for 4,24,73 is 1752

GCF of denominators i.e. for 560,832,640 is 16.

Thus, LCM of Fractions is 1752/16.Finally, LCM of Fractions for 4/560, 24/832, 73/640 is 1752/16.