Least Common Multiple of 19/39, 686/48, 754/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/39, 686/48, 754/501 quickly i.e. 4913818/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/39, 686/48, 754/501 is 4913818/3.

LCM(19/39, 686/48, 754/501) = 4913818/3

LCM of 19/39, 686/48, 754/501

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 19/39,686/48,754/501

Given numbers are 19/39,686/48,754/501

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 19,686,754

Least Common Multiple of Numerators i.e. LCM of 19,686,754 is 4913818.

GCF of Denominators means GCF of 39,48,501 as per the given fractions.

GCF of 39,48,501 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,686,754

LCM of Fractions 19/39,686/48,754/501 is 4913818/3

2 19, 686, 754
19, 343, 377

∴ So the LCM of the given numbers is 2 x 19 x 343 x 377 = 4913818

Least Common Multiple of 19,686,754 with GCF Formula

Least Common Multiple of 19,686,754 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 19,686,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,686,754) = 1

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

GCF(19,686,754) x common factors =1 x 2 = 2

LCM(19,686,754) = ( 19 × 686 × 754 ) / 2

LCM(19,686,754) = 9827636 / 2

LCM(19,686,754) = 4913818


Lets's calculate GCF of 39,48,501

3 39, 48, 501
13, 16, 167

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4913818/3

Therefore the LCM of Fractions 19/39,686/48,754/501 is 4913818/3

Greatest Common Factor of 39,48,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,48,501 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 39,48,501 . The biggest common factor number is the GCF number.
So the greatest common factor 39,48,501 is 3.


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 19/39, 686/48, 754/501

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 19/39, 686/48, 754/501?

Answer: LCM of Numerators as per given numbers 19/39, 686/48, 754/501 is

LCM of Numerators i.e. for 19,686,754 is 4913818

GCF of denominators i.e. for 39,48,501 is 3.

Thus, LCM of Fractions is 4913818/3.Finally, LCM of Fractions for 19/39, 686/48, 754/501 is 4913818/3.