Least Common Multiple of 19/93, 214/29, 839/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/93, 214/29, 839/742 quickly i.e. 3411374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/93, 214/29, 839/742 is 3411374.

LCM(19/93, 214/29, 839/742) = 3411374

LCM of 19/93, 214/29, 839/742

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 19/93,214/29,839/742

Given numbers are 19/93,214/29,839/742

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 19,214,839

Least Common Multiple of Numerators i.e. LCM of 19,214,839 is 3411374.

GCF of Denominators means GCF of 93,29,742 as per the given fractions.

GCF of 93,29,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,214,839

LCM of Fractions 19/93,214/29,839/742 is 3411374

Given numbers has no common factors except 1. So, there LCM is their product i.e 3411374

Least Common Multiple of 19,214,839 with GCF Formula

Least Common Multiple of 19,214,839 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 19,214,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,214,839) = 1

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

GCF(19,214,839) x common factors =1 x 1 = 1

LCM(19,214,839) = ( 19 × 214 × 839 ) / 1

LCM(19,214,839) = 3411374 / 1

LCM(19,214,839) = 3411374


Lets's calculate GCF of 93,29,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3411374/1

Therefore the LCM of Fractions 19/93,214/29,839/742 is 3411374

Greatest Common Factor of 93,29,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,29,742 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 93,29,742 . The biggest common factor number is the GCF number.
So the greatest common factor 93,29,742 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 19/93, 214/29, 839/742

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 19/93, 214/29, 839/742?

Answer: LCM of Numerators as per given numbers 19/93, 214/29, 839/742 is

LCM of Numerators i.e. for 19,214,839 is 3411374

GCF of denominators i.e. for 93,29,742 is 1.

Thus, LCM of Fractions is 3411374.Finally, LCM of Fractions for 19/93, 214/29, 839/742 is 3411374.