Least Common Multiple of 69/400, 75/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/400, 75/900 quickly i.e. 1725/100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/400, 75/900 is 1725/100.

LCM(69/400, 75/900) = 1725/100

LCM of 69/400, 75/900

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 69/400,75/900

Given numbers are 69/400,75/900

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 69,75

Least Common Multiple of Numerators i.e. LCM of 69,75 is 1725.

GCF of Denominators means GCF of 400,900 as per the given fractions.

GCF of 400,900 is 100 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,75

LCM of Fractions 69/400,75/900 is 1725/100

3 69, 75
23, 25

∴ So the LCM of the given numbers is 3 x 23 x 25 = 1725

Least Common Multiple of 69,75 with GCF Formula

Least Common Multiple of 69,75 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 69,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,75) = 3

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

GCF(69,75) x common factors =3 x 1 = 3

LCM(69,75) = ( 69 × 75 ) / 3

LCM(69,75) = 5175 / 3

LCM(69,75) = 1725


Lets's calculate GCF of 400,900

2 400, 900
2 200, 450
5 100, 225
5 20, 45
4, 9

∴ So the GCF of the given numbers is 2 x 2 x 5 x 5 = 100

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1725/100

Therefore the LCM of Fractions 69/400,75/900 is 1725/100

Greatest Common Factor of 400,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,900 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

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 400,900 . The biggest common factor number is the GCF number.
So the greatest common factor 400,900 is 100.


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 69/400, 75/900

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 69/400, 75/900?

Answer: LCM of Numerators as per given numbers 69/400, 75/900 is

LCM of Numerators i.e. for 69,75 is 1725

GCF of denominators i.e. for 400,900 is 100.

Thus, LCM of Fractions is 1725/100.Finally, LCM of Fractions for 69/400, 75/900 is 1725/100.