Least Common Multiple of 19/34, 114/10, 540/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/34, 114/10, 540/242 quickly i.e. 5130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/34, 114/10, 540/242 is 5130.

LCM(19/34, 114/10, 540/242) = 5130

LCM of 19/34, 114/10, 540/242

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 19/34,114/10,540/242

Given numbers are 19/34,114/10,540/242

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 19,114,540

Least Common Multiple of Numerators i.e. LCM of 19,114,540 is 10260.

GCF of Denominators means GCF of 34,10,242 as per the given fractions.

GCF of 34,10,242 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,114,540

LCM of Fractions 19/34,114/10,540/242 is 5130

2 19, 114, 540
3 19, 57, 270
19 19, 19, 90
1, 1, 90

∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 1 x 90 = 10260

Least Common Multiple of 19,114,540 with GCF Formula

Least Common Multiple of 19,114,540 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 19,114,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,114,540) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(19,114,540) x common factors =1 x 114 = 114

LCM(19,114,540) = ( 19 × 114 × 540 ) / 114

LCM(19,114,540) = 1169640 / 114

LCM(19,114,540) = 10260


Lets's calculate GCF of 34,10,242

2 34, 10, 242
17, 5, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10260/2

Therefore the LCM of Fractions 19/34,114/10,540/242 is 5130

Greatest Common Factor of 34,10,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,10,242 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 34,10,242 . The biggest common factor number is the GCF number.
So the greatest common factor 34,10,242 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 19/34, 114/10, 540/242

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 19/34, 114/10, 540/242?

Answer: LCM of Numerators as per given numbers 19/34, 114/10, 540/242 is

LCM of Numerators i.e. for 19,114,540 is 10260

GCF of denominators i.e. for 34,10,242 is 2.

Thus, LCM of Fractions is 5130.Finally, LCM of Fractions for 19/34, 114/10, 540/242 is 5130.