Least Common Multiple of 550/34, 803/51, 556/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 550/34, 803/51, 556/181 quickly i.e. 11161700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 550/34, 803/51, 556/181 is 11161700.

LCM(550/34, 803/51, 556/181) = 11161700

LCM of 550/34, 803/51, 556/181

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 550/34,803/51,556/181

Given numbers are 550/34,803/51,556/181

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 550,803,556

Least Common Multiple of Numerators i.e. LCM of 550,803,556 is 11161700.

GCF of Denominators means GCF of 34,51,181 as per the given fractions.

GCF of 34,51,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 550,803,556

LCM of Fractions 550/34,803/51,556/181 is 11161700

2 550, 803, 556
11 275, 803, 278
25, 73, 278

∴ So the LCM of the given numbers is 2 x 11 x 25 x 73 x 278 = 11161700

Least Common Multiple of 550,803,556 with GCF Formula

Least Common Multiple of 550,803,556 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 550,803,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,803,556) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(550,803,556) x common factors =1 x 22 = 22

LCM(550,803,556) = ( 550 × 803 × 556 ) / 22

LCM(550,803,556) = 245557400 / 22

LCM(550,803,556) = 11161700


Lets's calculate GCF of 34,51,181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11161700/1

Therefore the LCM of Fractions 550/34,803/51,556/181 is 11161700

Greatest Common Factor of 34,51,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,51,181 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 34,51,181 . The biggest common factor number is the GCF number.
So the greatest common factor 34,51,181 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 550/34, 803/51, 556/181

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 550/34, 803/51, 556/181?

Answer: LCM of Numerators as per given numbers 550/34, 803/51, 556/181 is

LCM of Numerators i.e. for 550,803,556 is 11161700

GCF of denominators i.e. for 34,51,181 is 1.

Thus, LCM of Fractions is 11161700.Finally, LCM of Fractions for 550/34, 803/51, 556/181 is 11161700.