Least Common Multiple of 44/930, 51/867, 550/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/930, 51/867, 550/243 quickly i.e. 18700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/930, 51/867, 550/243 is 18700.

LCM(44/930, 51/867, 550/243) = 18700

LCM of 44/930, 51/867, 550/243

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 44/930,51/867,550/243

Given numbers are 44/930,51/867,550/243

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 44,51,550

Least Common Multiple of Numerators i.e. LCM of 44,51,550 is 56100.

GCF of Denominators means GCF of 930,867,243 as per the given fractions.

GCF of 930,867,243 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,51,550

LCM of Fractions 44/930,51/867,550/243 is 18700

2 44, 51, 550
11 22, 51, 275
2, 51, 25

∴ So the LCM of the given numbers is 2 x 11 x 2 x 51 x 25 = 56100

Least Common Multiple of 44,51,550 with GCF Formula

Least Common Multiple of 44,51,550 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 44,51,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,51,550) = 1

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

GCF(44,51,550) x common factors =1 x 22 = 22

LCM(44,51,550) = ( 44 × 51 × 550 ) / 22

LCM(44,51,550) = 1234200 / 22

LCM(44,51,550) = 56100


Lets's calculate GCF of 930,867,243

3 930, 867, 243
310, 289, 81

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56100/3

Therefore the LCM of Fractions 44/930,51/867,550/243 is 18700

Greatest Common Factor of 930,867,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,867,243 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 930,867,243 . The biggest common factor number is the GCF number.
So the greatest common factor 930,867,243 is 3.


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 44/930, 51/867, 550/243

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 44/930, 51/867, 550/243?

Answer: LCM of Numerators as per given numbers 44/930, 51/867, 550/243 is

LCM of Numerators i.e. for 44,51,550 is 56100

GCF of denominators i.e. for 930,867,243 is 3.

Thus, LCM of Fractions is 18700.Finally, LCM of Fractions for 44/930, 51/867, 550/243 is 18700.