Least Common Multiple of 9835/466, 9172/8124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9835/466, 9172/8124 quickly i.e. 45103310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9835/466, 9172/8124 is 45103310.

LCM(9835/466, 9172/8124) = 45103310

LCM of 9835/466, 9172/8124

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 9835/466,9172/8124

Given numbers are 9835/466,9172/8124

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 9835,9172

Least Common Multiple of Numerators i.e. LCM of 9835,9172 is 90206620.

GCF of Denominators means GCF of 466,8124 as per the given fractions.

GCF of 466,8124 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9835,9172

LCM of Fractions 9835/466,9172/8124 is 45103310

Given numbers has no common factors except 1. So, there LCM is their product i.e 90206620

Least Common Multiple of 9835,9172 with GCF Formula

Least Common Multiple of 9835,9172 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 9835,9172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9835,9172) = 1

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

GCF(9835,9172) x common factors =1 x 1 = 1

LCM(9835,9172) = ( 9835 × 9172 ) / 1

LCM(9835,9172) = 90206620 / 1

LCM(9835,9172) = 90206620


Lets's calculate GCF of 466,8124

2 466, 8124
233, 4062

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90206620/2

Therefore the LCM of Fractions 9835/466,9172/8124 is 45103310

Greatest Common Factor of 466,8124 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,8124 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1,2,3,4,6,12,677,1354,2031,2708,4062,8124

Greatest Common Factor

We found the factors 466,8124 . The biggest common factor number is the GCF number.
So the greatest common factor 466,8124 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 9835/466, 9172/8124

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 9835/466, 9172/8124?

Answer: LCM of Numerators as per given numbers 9835/466, 9172/8124 is

LCM of Numerators i.e. for 9835,9172 is 90206620

GCF of denominators i.e. for 466,8124 is 2.

Thus, LCM of Fractions is 45103310.Finally, LCM of Fractions for 9835/466, 9172/8124 is 45103310.