Least Common Multiple of 73/69, 249/40, 289/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/69, 249/40, 289/775 quickly i.e. 5253153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/69, 249/40, 289/775 is 5253153.

LCM(73/69, 249/40, 289/775) = 5253153

LCM of 73/69, 249/40, 289/775

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 73/69,249/40,289/775

Given numbers are 73/69,249/40,289/775

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 73,249,289

Least Common Multiple of Numerators i.e. LCM of 73,249,289 is 5253153.

GCF of Denominators means GCF of 69,40,775 as per the given fractions.

GCF of 69,40,775 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,249,289

LCM of Fractions 73/69,249/40,289/775 is 5253153

Given numbers has no common factors except 1. So, there LCM is their product i.e 5253153

Least Common Multiple of 73,249,289 with GCF Formula

Least Common Multiple of 73,249,289 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 73,249,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,249,289) = 1

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

GCF(73,249,289) x common factors =1 x 1 = 1

LCM(73,249,289) = ( 73 × 249 × 289 ) / 1

LCM(73,249,289) = 5253153 / 1

LCM(73,249,289) = 5253153


Lets's calculate GCF of 69,40,775

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5253153/1

Therefore the LCM of Fractions 73/69,249/40,289/775 is 5253153

Greatest Common Factor of 69,40,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,40,775 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 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 69,40,775 . The biggest common factor number is the GCF number.
So the greatest common factor 69,40,775 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 73/69, 249/40, 289/775

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 73/69, 249/40, 289/775?

Answer: LCM of Numerators as per given numbers 73/69, 249/40, 289/775 is

LCM of Numerators i.e. for 73,249,289 is 5253153

GCF of denominators i.e. for 69,40,775 is 1.

Thus, LCM of Fractions is 5253153.Finally, LCM of Fractions for 73/69, 249/40, 289/775 is 5253153.