Least Common Multiple of 31/39, 614/49, 704/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/39, 614/49, 704/830 quickly i.e. 6699968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/39, 614/49, 704/830 is 6699968.

LCM(31/39, 614/49, 704/830) = 6699968

LCM of 31/39, 614/49, 704/830

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 31/39,614/49,704/830

Given numbers are 31/39,614/49,704/830

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 31,614,704

Least Common Multiple of Numerators i.e. LCM of 31,614,704 is 6699968.

GCF of Denominators means GCF of 39,49,830 as per the given fractions.

GCF of 39,49,830 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,614,704

LCM of Fractions 31/39,614/49,704/830 is 6699968

2 31, 614, 704
31, 307, 352

∴ So the LCM of the given numbers is 2 x 31 x 307 x 352 = 6699968

Least Common Multiple of 31,614,704 with GCF Formula

Least Common Multiple of 31,614,704 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 31,614,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,614,704) = 1

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

GCF(31,614,704) x common factors =1 x 2 = 2

LCM(31,614,704) = ( 31 × 614 × 704 ) / 2

LCM(31,614,704) = 13399936 / 2

LCM(31,614,704) = 6699968


Lets's calculate GCF of 39,49,830

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6699968/1

Therefore the LCM of Fractions 31/39,614/49,704/830 is 6699968

Greatest Common Factor of 39,49,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,49,830 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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 39,49,830 . The biggest common factor number is the GCF number.
So the greatest common factor 39,49,830 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 31/39, 614/49, 704/830

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 31/39, 614/49, 704/830?

Answer: LCM of Numerators as per given numbers 31/39, 614/49, 704/830 is

LCM of Numerators i.e. for 31,614,704 is 6699968

GCF of denominators i.e. for 39,49,830 is 1.

Thus, LCM of Fractions is 6699968.Finally, LCM of Fractions for 31/39, 614/49, 704/830 is 6699968.