Least Common Multiple of 18/551, 28/310, 261/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/551, 28/310, 261/196 quickly i.e. 7308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/551, 28/310, 261/196 is 7308.

LCM(18/551, 28/310, 261/196) = 7308

LCM of 18/551, 28/310, 261/196

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 18/551,28/310,261/196

Given numbers are 18/551,28/310,261/196

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 18,28,261

Least Common Multiple of Numerators i.e. LCM of 18,28,261 is 7308.

GCF of Denominators means GCF of 551,310,196 as per the given fractions.

GCF of 551,310,196 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,28,261

LCM of Fractions 18/551,28/310,261/196 is 7308

2 18, 28, 261
3 9, 14, 261
3 3, 14, 87
1, 14, 29

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 14 x 29 = 7308

Least Common Multiple of 18,28,261 with GCF Formula

Least Common Multiple of 18,28,261 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 18,28,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,28,261) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(18,28,261) x common factors =1 x 18 = 18

LCM(18,28,261) = ( 18 × 28 × 261 ) / 18

LCM(18,28,261) = 131544 / 18

LCM(18,28,261) = 7308


Lets's calculate GCF of 551,310,196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7308/1

Therefore the LCM of Fractions 18/551,28/310,261/196 is 7308

Greatest Common Factor of 551,310,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,310,196 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 551,310,196 . The biggest common factor number is the GCF number.
So the greatest common factor 551,310,196 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 18/551, 28/310, 261/196

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 18/551, 28/310, 261/196?

Answer: LCM of Numerators as per given numbers 18/551, 28/310, 261/196 is

LCM of Numerators i.e. for 18,28,261 is 7308

GCF of denominators i.e. for 551,310,196 is 1.

Thus, LCM of Fractions is 7308.Finally, LCM of Fractions for 18/551, 28/310, 261/196 is 7308.