Least Common Multiple of 466/46, 860/9532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 466/46, 860/9532 quickly i.e. 100190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 466/46, 860/9532 is 100190.

LCM(466/46, 860/9532) = 100190

LCM of 466/46, 860/9532

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 466/46,860/9532

Given numbers are 466/46,860/9532

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 466,860

Least Common Multiple of Numerators i.e. LCM of 466,860 is 200380.

GCF of Denominators means GCF of 46,9532 as per the given fractions.

GCF of 46,9532 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 466,860

LCM of Fractions 466/46,860/9532 is 100190

2 466, 860
233, 430

∴ So the LCM of the given numbers is 2 x 233 x 430 = 200380

Least Common Multiple of 466,860 with GCF Formula

Least Common Multiple of 466,860 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 466,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,860) = 2

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

GCF(466,860) x common factors =2 x 1 = 2

LCM(466,860) = ( 466 × 860 ) / 2

LCM(466,860) = 400760 / 2

LCM(466,860) = 200380


Lets's calculate GCF of 46,9532

2 46, 9532
23, 4766

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200380/2

Therefore the LCM of Fractions 466/46,860/9532 is 100190

Greatest Common Factor of 46,9532 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,9532 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 9532

List of positive integer factors of 9532 that divides 9532 without a remainder.

1,2,4,2383,4766,9532

Greatest Common Factor

We found the factors 46,9532 . The biggest common factor number is the GCF number.
So the greatest common factor 46,9532 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 466/46, 860/9532

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 466/46, 860/9532?

Answer: LCM of Numerators as per given numbers 466/46, 860/9532 is

LCM of Numerators i.e. for 466,860 is 200380

GCF of denominators i.e. for 46,9532 is 2.

Thus, LCM of Fractions is 100190.Finally, LCM of Fractions for 466/46, 860/9532 is 100190.