Least Common Multiple of 554/54, 259/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 554/54, 259/106 quickly i.e. 71743 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 554/54, 259/106 is 71743.

LCM(554/54, 259/106) = 71743

LCM of 554/54, 259/106

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 554/54,259/106

Given numbers are 554/54,259/106

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 554,259

Least Common Multiple of Numerators i.e. LCM of 554,259 is 143486.

GCF of Denominators means GCF of 54,106 as per the given fractions.

GCF of 54,106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 554,259

LCM of Fractions 554/54,259/106 is 71743

Given numbers has no common factors except 1. So, there LCM is their product i.e 143486

Least Common Multiple of 554,259 with GCF Formula

Least Common Multiple of 554,259 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 554,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,259) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(554,259) x common factors =1 x 1 = 1

LCM(554,259) = ( 554 × 259 ) / 1

LCM(554,259) = 143486 / 1

LCM(554,259) = 143486


Lets's calculate GCF of 54,106

2 54, 106
27, 53

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143486/2

Therefore the LCM of Fractions 554/54,259/106 is 71743

Greatest Common Factor of 54,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,106 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 54,106 . The biggest common factor number is the GCF number.
So the greatest common factor 54,106 is 2.


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 554/54, 259/106

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 554/54, 259/106?

Answer: LCM of Numerators as per given numbers 554/54, 259/106 is

LCM of Numerators i.e. for 554,259 is 143486

GCF of denominators i.e. for 54,106 is 2.

Thus, LCM of Fractions is 71743.Finally, LCM of Fractions for 554/54, 259/106 is 71743.