Least Common Multiple of 4302/363, 3890/8169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4302/363, 3890/8169 quickly i.e. 2789130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4302/363, 3890/8169 is 2789130.

LCM(4302/363, 3890/8169) = 2789130

LCM of 4302/363, 3890/8169

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 4302/363,3890/8169

Given numbers are 4302/363,3890/8169

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 4302,3890

Least Common Multiple of Numerators i.e. LCM of 4302,3890 is 8367390.

GCF of Denominators means GCF of 363,8169 as per the given fractions.

GCF of 363,8169 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4302,3890

LCM of Fractions 4302/363,3890/8169 is 2789130

2 4302, 3890
2151, 1945

∴ So the LCM of the given numbers is 2 x 2151 x 1945 = 8367390

Least Common Multiple of 4302,3890 with GCF Formula

Least Common Multiple of 4302,3890 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 4302,3890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4302,3890) = 2

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

GCF(4302,3890) x common factors =2 x 1 = 2

LCM(4302,3890) = ( 4302 × 3890 ) / 2

LCM(4302,3890) = 16734780 / 2

LCM(4302,3890) = 8367390


Lets's calculate GCF of 363,8169

3 363, 8169
121, 2723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8367390/3

Therefore the LCM of Fractions 4302/363,3890/8169 is 2789130

Greatest Common Factor of 363,8169 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,8169 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 8169

List of positive integer factors of 8169 that divides 8169 without a remainder.

1,3,7,21,389,1167,2723,8169

Greatest Common Factor

We found the factors 363,8169 . The biggest common factor number is the GCF number.
So the greatest common factor 363,8169 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 4302/363, 3890/8169

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 4302/363, 3890/8169?

Answer: LCM of Numerators as per given numbers 4302/363, 3890/8169 is

LCM of Numerators i.e. for 4302,3890 is 8367390

GCF of denominators i.e. for 363,8169 is 3.

Thus, LCM of Fractions is 2789130.Finally, LCM of Fractions for 4302/363, 3890/8169 is 2789130.