Least Common Multiple of 73/284, 69/138, 775/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/284, 69/138, 775/310 quickly i.e. 3903675/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/284, 69/138, 775/310 is 3903675/2.

LCM(73/284, 69/138, 775/310) = 3903675/2

LCM of 73/284, 69/138, 775/310

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 73/284,69/138,775/310

Given numbers are 73/284,69/138,775/310

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 73,69,775

Least Common Multiple of Numerators i.e. LCM of 73,69,775 is 3903675.

GCF of Denominators means GCF of 284,138,310 as per the given fractions.

GCF of 284,138,310 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,69,775

LCM of Fractions 73/284,69/138,775/310 is 3903675/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 3903675

Least Common Multiple of 73,69,775 with GCF Formula

Least Common Multiple of 73,69,775 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 73,69,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,69,775) = 1

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

GCF(73,69,775) x common factors =1 x 1 = 1

LCM(73,69,775) = ( 73 × 69 × 775 ) / 1

LCM(73,69,775) = 3903675 / 1

LCM(73,69,775) = 3903675


Lets's calculate GCF of 284,138,310

2 284, 138, 310
142, 69, 155

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3903675/2

Therefore the LCM of Fractions 73/284,69/138,775/310 is 3903675/2

Greatest Common Factor of 284,138,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,138,310 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 284,138,310 . The biggest common factor number is the GCF number.
So the greatest common factor 284,138,310 is 2.


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 73/284, 69/138, 775/310

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 73/284, 69/138, 775/310?

Answer: LCM of Numerators as per given numbers 73/284, 69/138, 775/310 is

LCM of Numerators i.e. for 73,69,775 is 3903675

GCF of denominators i.e. for 284,138,310 is 2.

Thus, LCM of Fractions is 3903675/2.Finally, LCM of Fractions for 73/284, 69/138, 775/310 is 3903675/2.