Least Common Multiple of 550/783, 226/481, 755/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 550/783, 226/481, 755/144 quickly i.e. 9384650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 550/783, 226/481, 755/144 is 9384650.

LCM(550/783, 226/481, 755/144) = 9384650

LCM of 550/783, 226/481, 755/144

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 550/783,226/481,755/144

Given numbers are 550/783,226/481,755/144

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 550,226,755

Least Common Multiple of Numerators i.e. LCM of 550,226,755 is 9384650.

GCF of Denominators means GCF of 783,481,144 as per the given fractions.

GCF of 783,481,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 550,226,755

LCM of Fractions 550/783,226/481,755/144 is 9384650

2 550, 226, 755
5 275, 113, 755
55, 113, 151

∴ So the LCM of the given numbers is 2 x 5 x 55 x 113 x 151 = 9384650

Least Common Multiple of 550,226,755 with GCF Formula

Least Common Multiple of 550,226,755 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 550,226,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,226,755) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(550,226,755) x common factors =1 x 10 = 10

LCM(550,226,755) = ( 550 × 226 × 755 ) / 10

LCM(550,226,755) = 93846500 / 10

LCM(550,226,755) = 9384650


Lets's calculate GCF of 783,481,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9384650/1

Therefore the LCM of Fractions 550/783,226/481,755/144 is 9384650

Greatest Common Factor of 783,481,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,481,144 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 783,481,144 . The biggest common factor number is the GCF number.
So the greatest common factor 783,481,144 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 550/783, 226/481, 755/144

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 550/783, 226/481, 755/144?

Answer: LCM of Numerators as per given numbers 550/783, 226/481, 755/144 is

LCM of Numerators i.e. for 550,226,755 is 9384650

GCF of denominators i.e. for 783,481,144 is 1.

Thus, LCM of Fractions is 9384650.Finally, LCM of Fractions for 550/783, 226/481, 755/144 is 9384650.