Least Common Multiple of 9567/900, 3350/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9567/900, 3350/756 quickly i.e. 32049450/36 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9567/900, 3350/756 is 32049450/36.

LCM(9567/900, 3350/756) = 32049450/36

LCM of 9567/900, 3350/756

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 9567/900,3350/756

Given numbers are 9567/900,3350/756

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 9567,3350

Least Common Multiple of Numerators i.e. LCM of 9567,3350 is 32049450.

GCF of Denominators means GCF of 900,756 as per the given fractions.

GCF of 900,756 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9567,3350

LCM of Fractions 9567/900,3350/756 is 32049450/36

Given numbers has no common factors except 1. So, there LCM is their product i.e 32049450

Least Common Multiple of 9567,3350 with GCF Formula

Least Common Multiple of 9567,3350 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 9567,3350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9567,3350) = 1

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

GCF(9567,3350) x common factors =1 x 1 = 1

LCM(9567,3350) = ( 9567 × 3350 ) / 1

LCM(9567,3350) = 32049450 / 1

LCM(9567,3350) = 32049450


Lets's calculate GCF of 900,756

2 900, 756
2 450, 378
3 225, 189
3 75, 63
25, 21

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32049450/36

Therefore the LCM of Fractions 9567/900,3350/756 is 32049450/36

Greatest Common Factor of 900,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,756 By Matching Biggest Common Factor Method

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

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 900,756 . The biggest common factor number is the GCF number.
So the greatest common factor 900,756 is 36.


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 9567/900, 3350/756

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 9567/900, 3350/756?

Answer: LCM of Numerators as per given numbers 9567/900, 3350/756 is

LCM of Numerators i.e. for 9567,3350 is 32049450

GCF of denominators i.e. for 900,756 is 36.

Thus, LCM of Fractions is 32049450/36.Finally, LCM of Fractions for 9567/900, 3350/756 is 32049450/36.