Least Common Multiple of 4090/471, 9160/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4090/471, 9160/837 quickly i.e. 3746440/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4090/471, 9160/837 is 3746440/3.

LCM(4090/471, 9160/837) = 3746440/3

LCM of 4090/471, 9160/837

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 4090/471,9160/837

Given numbers are 4090/471,9160/837

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 4090,9160

Least Common Multiple of Numerators i.e. LCM of 4090,9160 is 3746440.

GCF of Denominators means GCF of 471,837 as per the given fractions.

GCF of 471,837 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4090,9160

LCM of Fractions 4090/471,9160/837 is 3746440/3

2 4090, 9160
5 2045, 4580
409, 916

∴ So the LCM of the given numbers is 2 x 5 x 409 x 916 = 3746440

Least Common Multiple of 4090,9160 with GCF Formula

Least Common Multiple of 4090,9160 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 4090,9160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4090,9160) = 10

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

GCF(4090,9160) x common factors =10 x 1 = 10

LCM(4090,9160) = ( 4090 × 9160 ) / 10

LCM(4090,9160) = 37464400 / 10

LCM(4090,9160) = 3746440


Lets's calculate GCF of 471,837

3 471, 837
157, 279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3746440/3

Therefore the LCM of Fractions 4090/471,9160/837 is 3746440/3

Greatest Common Factor of 471,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,837 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 471,837 . The biggest common factor number is the GCF number.
So the greatest common factor 471,837 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 4090/471, 9160/837

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 4090/471, 9160/837?

Answer: LCM of Numerators as per given numbers 4090/471, 9160/837 is

LCM of Numerators i.e. for 4090,9160 is 3746440

GCF of denominators i.e. for 471,837 is 3.

Thus, LCM of Fractions is 3746440/3.Finally, LCM of Fractions for 4090/471, 9160/837 is 3746440/3.