Least Common Multiple of 900/73, 800/3152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/73, 800/3152 quickly i.e. 7200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/73, 800/3152 is 7200.

LCM(900/73, 800/3152) = 7200

LCM of 900/73, 800/3152

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 900/73,800/3152

Given numbers are 900/73,800/3152

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 900,800

Least Common Multiple of Numerators i.e. LCM of 900,800 is 7200.

GCF of Denominators means GCF of 73,3152 as per the given fractions.

GCF of 73,3152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,800

LCM of Fractions 900/73,800/3152 is 7200

2 900, 800
2 450, 400
5 225, 200
5 45, 40
9, 8

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 9 x 8 = 7200

Least Common Multiple of 900,800 with GCF Formula

Least Common Multiple of 900,800 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 900,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,800) = 100

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

GCF(900,800) x common factors =100 x 1 = 100

LCM(900,800) = ( 900 × 800 ) / 100

LCM(900,800) = 720000 / 100

LCM(900,800) = 7200


Lets's calculate GCF of 73,3152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7200/1

Therefore the LCM of Fractions 900/73,800/3152 is 7200

Greatest Common Factor of 73,3152 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,3152 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 3152

List of positive integer factors of 3152 that divides 3152 without a remainder.

1,2,4,8,16,197,394,788,1576,3152

Greatest Common Factor

We found the factors 73,3152 . The biggest common factor number is the GCF number.
So the greatest common factor 73,3152 is 1.


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 900/73, 800/3152

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 900/73, 800/3152?

Answer: LCM of Numerators as per given numbers 900/73, 800/3152 is

LCM of Numerators i.e. for 900,800 is 7200

GCF of denominators i.e. for 73,3152 is 1.

Thus, LCM of Fractions is 7200.Finally, LCM of Fractions for 900/73, 800/3152 is 7200.