Least Common Multiple of 18/105, 60/426, 420/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/105, 60/426, 420/503 quickly i.e. 1260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/105, 60/426, 420/503 is 1260.

LCM(18/105, 60/426, 420/503) = 1260

LCM of 18/105, 60/426, 420/503

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 18/105,60/426,420/503

Given numbers are 18/105,60/426,420/503

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 18,60,420

Least Common Multiple of Numerators i.e. LCM of 18,60,420 is 1260.

GCF of Denominators means GCF of 105,426,503 as per the given fractions.

GCF of 105,426,503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,60,420

LCM of Fractions 18/105,60/426,420/503 is 1260

2 18, 60, 420
2 9, 30, 210
3 9, 15, 105
5 3, 5, 35
3, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 3 x 1 x 7 = 1260

Least Common Multiple of 18,60,420 with GCF Formula

Least Common Multiple of 18,60,420 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 18,60,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,60,420) = 6

common factors(in case of two or more numbers have common factors) = 60

GCF(18,60,420) x common factors =6 x 60 = 360

LCM(18,60,420) = ( 18 × 60 × 420 ) / 360

LCM(18,60,420) = 453600 / 360

LCM(18,60,420) = 1260


Lets's calculate GCF of 105,426,503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1260/1

Therefore the LCM of Fractions 18/105,60/426,420/503 is 1260

Greatest Common Factor of 105,426,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,426,503 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 105,426,503 . The biggest common factor number is the GCF number.
So the greatest common factor 105,426,503 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 18/105, 60/426, 420/503

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 18/105, 60/426, 420/503?

Answer: LCM of Numerators as per given numbers 18/105, 60/426, 420/503 is

LCM of Numerators i.e. for 18,60,420 is 1260

GCF of denominators i.e. for 105,426,503 is 1.

Thus, LCM of Fractions is 1260.Finally, LCM of Fractions for 18/105, 60/426, 420/503 is 1260.