Least Common Multiple of 8256/146, 3971/5730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8256/146, 3971/5730 quickly i.e. 16392288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8256/146, 3971/5730 is 16392288.

LCM(8256/146, 3971/5730) = 16392288

LCM of 8256/146, 3971/5730

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 8256/146,3971/5730

Given numbers are 8256/146,3971/5730

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 8256,3971

Least Common Multiple of Numerators i.e. LCM of 8256,3971 is 32784576.

GCF of Denominators means GCF of 146,5730 as per the given fractions.

GCF of 146,5730 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8256,3971

LCM of Fractions 8256/146,3971/5730 is 16392288

Given numbers has no common factors except 1. So, there LCM is their product i.e 32784576

Least Common Multiple of 8256,3971 with GCF Formula

Least Common Multiple of 8256,3971 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 8256,3971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8256,3971) = 1

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

GCF(8256,3971) x common factors =1 x 1 = 1

LCM(8256,3971) = ( 8256 × 3971 ) / 1

LCM(8256,3971) = 32784576 / 1

LCM(8256,3971) = 32784576


Lets's calculate GCF of 146,5730

2 146, 5730
73, 2865

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32784576/2

Therefore the LCM of Fractions 8256/146,3971/5730 is 16392288

Greatest Common Factor of 146,5730 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,5730 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 5730

List of positive integer factors of 5730 that divides 5730 without a remainder.

1,2,3,5,6,10,15,30,191,382,573,955,1146,1910,2865,5730

Greatest Common Factor

We found the factors 146,5730 . The biggest common factor number is the GCF number.
So the greatest common factor 146,5730 is 2.


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 8256/146, 3971/5730

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 8256/146, 3971/5730?

Answer: LCM of Numerators as per given numbers 8256/146, 3971/5730 is

LCM of Numerators i.e. for 8256,3971 is 32784576

GCF of denominators i.e. for 146,5730 is 2.

Thus, LCM of Fractions is 16392288.Finally, LCM of Fractions for 8256/146, 3971/5730 is 16392288.