Least Common Multiple of 714/40, 321/4785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 714/40, 321/4785 quickly i.e. 76398/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/40, 321/4785 is 76398/5.

LCM(714/40, 321/4785) = 76398/5

LCM of 714/40, 321/4785

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 714/40,321/4785

Given numbers are 714/40,321/4785

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 714,321

Least Common Multiple of Numerators i.e. LCM of 714,321 is 76398.

GCF of Denominators means GCF of 40,4785 as per the given fractions.

GCF of 40,4785 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,321

LCM of Fractions 714/40,321/4785 is 76398/5

3 714, 321
238, 107

∴ So the LCM of the given numbers is 3 x 238 x 107 = 76398

Least Common Multiple of 714,321 with GCF Formula

Least Common Multiple of 714,321 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 714,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,321) = 3

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

GCF(714,321) x common factors =3 x 1 = 3

LCM(714,321) = ( 714 × 321 ) / 3

LCM(714,321) = 229194 / 3

LCM(714,321) = 76398


Lets's calculate GCF of 40,4785

5 40, 4785
8, 957

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76398/5

Therefore the LCM of Fractions 714/40,321/4785 is 76398/5

Greatest Common Factor of 40,4785 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,4785 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 4785

List of positive integer factors of 4785 that divides 4785 without a remainder.

1,3,5,11,15,29,33,55,87,145,165,319,435,957,1595,4785

Greatest Common Factor

We found the factors 40,4785 . The biggest common factor number is the GCF number.
So the greatest common factor 40,4785 is 5.


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 714/40, 321/4785

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 714/40, 321/4785?

Answer: LCM of Numerators as per given numbers 714/40, 321/4785 is

LCM of Numerators i.e. for 714,321 is 76398

GCF of denominators i.e. for 40,4785 is 5.

Thus, LCM of Fractions is 76398/5.Finally, LCM of Fractions for 714/40, 321/4785 is 76398/5.