Least Common Multiple of 76/550, 773/808, 146/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/550, 773/808, 146/328 quickly i.e. 2144302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/550, 773/808, 146/328 is 2144302.

LCM(76/550, 773/808, 146/328) = 2144302

LCM of 76/550, 773/808, 146/328

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 76/550,773/808,146/328

Given numbers are 76/550,773/808,146/328

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 76,773,146

Least Common Multiple of Numerators i.e. LCM of 76,773,146 is 4288604.

GCF of Denominators means GCF of 550,808,328 as per the given fractions.

GCF of 550,808,328 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,773,146

LCM of Fractions 76/550,773/808,146/328 is 2144302

2 76, 773, 146
38, 773, 73

∴ So the LCM of the given numbers is 2 x 38 x 773 x 73 = 4288604

Least Common Multiple of 76,773,146 with GCF Formula

Least Common Multiple of 76,773,146 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 76,773,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,773,146) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,773,146) x common factors =1 x 2 = 2

LCM(76,773,146) = ( 76 × 773 × 146 ) / 2

LCM(76,773,146) = 8577208 / 2

LCM(76,773,146) = 4288604


Lets's calculate GCF of 550,808,328

2 550, 808, 328
275, 404, 164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4288604/2

Therefore the LCM of Fractions 76/550,773/808,146/328 is 2144302

Greatest Common Factor of 550,808,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,808,328 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 550,808,328 . The biggest common factor number is the GCF number.
So the greatest common factor 550,808,328 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 76/550, 773/808, 146/328

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 76/550, 773/808, 146/328?

Answer: LCM of Numerators as per given numbers 76/550, 773/808, 146/328 is

LCM of Numerators i.e. for 76,773,146 is 4288604

GCF of denominators i.e. for 550,808,328 is 2.

Thus, LCM of Fractions is 2144302.Finally, LCM of Fractions for 76/550, 773/808, 146/328 is 2144302.