Least Common Multiple of 9896/355, 4986/1830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9896/355, 4986/1830 quickly i.e. 24670728/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9896/355, 4986/1830 is 24670728/5.

LCM(9896/355, 4986/1830) = 24670728/5

LCM of 9896/355, 4986/1830

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 9896/355,4986/1830

Given numbers are 9896/355,4986/1830

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 9896,4986

Least Common Multiple of Numerators i.e. LCM of 9896,4986 is 24670728.

GCF of Denominators means GCF of 355,1830 as per the given fractions.

GCF of 355,1830 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9896,4986

LCM of Fractions 9896/355,4986/1830 is 24670728/5

2 9896, 4986
4948, 2493

∴ So the LCM of the given numbers is 2 x 4948 x 2493 = 24670728

Least Common Multiple of 9896,4986 with GCF Formula

Least Common Multiple of 9896,4986 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 9896,4986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9896,4986) = 2

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

GCF(9896,4986) x common factors =2 x 1 = 2

LCM(9896,4986) = ( 9896 × 4986 ) / 2

LCM(9896,4986) = 49341456 / 2

LCM(9896,4986) = 24670728


Lets's calculate GCF of 355,1830

5 355, 1830
71, 366

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24670728/5

Therefore the LCM of Fractions 9896/355,4986/1830 is 24670728/5

Greatest Common Factor of 355,1830 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,1830 By Matching Biggest Common Factor Method

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 1830

List of positive integer factors of 1830 that divides 1830 without a remainder.

1,2,3,5,6,10,15,30,61,122,183,305,366,610,915,1830

Greatest Common Factor

We found the factors 355,1830 . The biggest common factor number is the GCF number.
So the greatest common factor 355,1830 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 9896/355, 4986/1830

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 9896/355, 4986/1830?

Answer: LCM of Numerators as per given numbers 9896/355, 4986/1830 is

LCM of Numerators i.e. for 9896,4986 is 24670728

GCF of denominators i.e. for 355,1830 is 5.

Thus, LCM of Fractions is 24670728/5.Finally, LCM of Fractions for 9896/355, 4986/1830 is 24670728/5.