Least Common Multiple of 72/69, 832/63, 450/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/69, 832/63, 450/366 quickly i.e. 62400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/69, 832/63, 450/366 is 62400.

LCM(72/69, 832/63, 450/366) = 62400

LCM of 72/69, 832/63, 450/366

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 72/69,832/63,450/366

Given numbers are 72/69,832/63,450/366

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 72,832,450

Least Common Multiple of Numerators i.e. LCM of 72,832,450 is 187200.

GCF of Denominators means GCF of 69,63,366 as per the given fractions.

GCF of 69,63,366 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,832,450

LCM of Fractions 72/69,832/63,450/366 is 62400

2 72, 832, 450
2 36, 416, 225
2 18, 208, 225
3 9, 104, 225
3 3, 104, 75
1, 104, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 104 x 25 = 187200

Least Common Multiple of 72,832,450 with GCF Formula

Least Common Multiple of 72,832,450 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 72,832,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,832,450) = 2

common factors(in case of two or more numbers have common factors) = 72

GCF(72,832,450) x common factors =2 x 72 = 144

LCM(72,832,450) = ( 72 × 832 × 450 ) / 144

LCM(72,832,450) = 26956800 / 144

LCM(72,832,450) = 187200


Lets's calculate GCF of 69,63,366

3 69, 63, 366
23, 21, 122

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187200/3

Therefore the LCM of Fractions 72/69,832/63,450/366 is 62400

Greatest Common Factor of 69,63,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,63,366 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 69,63,366 . The biggest common factor number is the GCF number.
So the greatest common factor 69,63,366 is 3.


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 72/69, 832/63, 450/366

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 72/69, 832/63, 450/366?

Answer: LCM of Numerators as per given numbers 72/69, 832/63, 450/366 is

LCM of Numerators i.e. for 72,832,450 is 187200

GCF of denominators i.e. for 69,63,366 is 3.

Thus, LCM of Fractions is 62400.Finally, LCM of Fractions for 72/69, 832/63, 450/366 is 62400.