Least Common Multiple of 18/553, 23/726, 508/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/553, 23/726, 508/401 quickly i.e. 105156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/553, 23/726, 508/401 is 105156.

LCM(18/553, 23/726, 508/401) = 105156

LCM of 18/553, 23/726, 508/401

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 18/553,23/726,508/401

Given numbers are 18/553,23/726,508/401

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 18,23,508

Least Common Multiple of Numerators i.e. LCM of 18,23,508 is 105156.

GCF of Denominators means GCF of 553,726,401 as per the given fractions.

GCF of 553,726,401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,23,508

LCM of Fractions 18/553,23/726,508/401 is 105156

2 18, 23, 508
9, 23, 254

∴ So the LCM of the given numbers is 2 x 9 x 23 x 254 = 105156

Least Common Multiple of 18,23,508 with GCF Formula

Least Common Multiple of 18,23,508 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 18,23,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,23,508) = 1

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

GCF(18,23,508) x common factors =1 x 2 = 2

LCM(18,23,508) = ( 18 × 23 × 508 ) / 2

LCM(18,23,508) = 210312 / 2

LCM(18,23,508) = 105156


Lets's calculate GCF of 553,726,401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105156/1

Therefore the LCM of Fractions 18/553,23/726,508/401 is 105156

Greatest Common Factor of 553,726,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,726,401 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors 553,726,401 . The biggest common factor number is the GCF number.
So the greatest common factor 553,726,401 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 18/553, 23/726, 508/401

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 18/553, 23/726, 508/401?

Answer: LCM of Numerators as per given numbers 18/553, 23/726, 508/401 is

LCM of Numerators i.e. for 18,23,508 is 105156

GCF of denominators i.e. for 553,726,401 is 1.

Thus, LCM of Fractions is 105156.Finally, LCM of Fractions for 18/553, 23/726, 508/401 is 105156.