Least Common Multiple of 747/14, 570/24, 733/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 747/14, 570/24, 733/900 quickly i.e. 52017345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/14, 570/24, 733/900 is 52017345.

LCM(747/14, 570/24, 733/900) = 52017345

LCM of 747/14, 570/24, 733/900

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 747/14,570/24,733/900

Given numbers are 747/14,570/24,733/900

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 747,570,733

Least Common Multiple of Numerators i.e. LCM of 747,570,733 is 104034690.

GCF of Denominators means GCF of 14,24,900 as per the given fractions.

GCF of 14,24,900 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,570,733

LCM of Fractions 747/14,570/24,733/900 is 52017345

3 747, 570, 733
249, 190, 733

∴ So the LCM of the given numbers is 3 x 249 x 190 x 733 = 104034690

Least Common Multiple of 747,570,733 with GCF Formula

Least Common Multiple of 747,570,733 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 747,570,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,570,733) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(747,570,733) x common factors =1 x 3 = 3

LCM(747,570,733) = ( 747 × 570 × 733 ) / 3

LCM(747,570,733) = 312104070 / 3

LCM(747,570,733) = 104034690


Lets's calculate GCF of 14,24,900

2 14, 24, 900
7, 12, 450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104034690/2

Therefore the LCM of Fractions 747/14,570/24,733/900 is 52017345

Greatest Common Factor of 14,24,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,24,900 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

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 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 14,24,900 . The biggest common factor number is the GCF number.
So the greatest common factor 14,24,900 is 2.


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 747/14, 570/24, 733/900

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 747/14, 570/24, 733/900?

Answer: LCM of Numerators as per given numbers 747/14, 570/24, 733/900 is

LCM of Numerators i.e. for 747,570,733 is 104034690

GCF of denominators i.e. for 14,24,900 is 2.

Thus, LCM of Fractions is 52017345.Finally, LCM of Fractions for 747/14, 570/24, 733/900 is 52017345.