Least Common Multiple of 386/72, 541/96, 550/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 386/72, 541/96, 550/261 quickly i.e. 57427150/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 386/72, 541/96, 550/261 is 57427150/3.

LCM(386/72, 541/96, 550/261) = 57427150/3

LCM of 386/72, 541/96, 550/261

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 386/72,541/96,550/261

Given numbers are 386/72,541/96,550/261

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 386,541,550

Least Common Multiple of Numerators i.e. LCM of 386,541,550 is 57427150.

GCF of Denominators means GCF of 72,96,261 as per the given fractions.

GCF of 72,96,261 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 386,541,550

LCM of Fractions 386/72,541/96,550/261 is 57427150/3

2 386, 541, 550
193, 541, 275

∴ So the LCM of the given numbers is 2 x 193 x 541 x 275 = 57427150

Least Common Multiple of 386,541,550 with GCF Formula

Least Common Multiple of 386,541,550 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 386,541,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,541,550) = 1

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

GCF(386,541,550) x common factors =1 x 2 = 2

LCM(386,541,550) = ( 386 × 541 × 550 ) / 2

LCM(386,541,550) = 114854300 / 2

LCM(386,541,550) = 57427150


Lets's calculate GCF of 72,96,261

3 72, 96, 261
24, 32, 87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57427150/3

Therefore the LCM of Fractions 386/72,541/96,550/261 is 57427150/3

Greatest Common Factor of 72,96,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,96,261 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

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

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 72,96,261 . The biggest common factor number is the GCF number.
So the greatest common factor 72,96,261 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 386/72, 541/96, 550/261

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 386/72, 541/96, 550/261?

Answer: LCM of Numerators as per given numbers 386/72, 541/96, 550/261 is

LCM of Numerators i.e. for 386,541,550 is 57427150

GCF of denominators i.e. for 72,96,261 is 3.

Thus, LCM of Fractions is 57427150/3.Finally, LCM of Fractions for 386/72, 541/96, 550/261 is 57427150/3.