Least Common Multiple of 46/24, 186/32, 940/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/24, 186/32, 940/940 quickly i.e. 502665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/24, 186/32, 940/940 is 502665.

LCM(46/24, 186/32, 940/940) = 502665

LCM of 46/24, 186/32, 940/940

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 46/24,186/32,940/940

Given numbers are 46/24,186/32,940/940

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 46,186,940

Least Common Multiple of Numerators i.e. LCM of 46,186,940 is 2010660.

GCF of Denominators means GCF of 24,32,940 as per the given fractions.

GCF of 24,32,940 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,186,940

LCM of Fractions 46/24,186/32,940/940 is 502665

2 46, 186, 940
23, 93, 470

∴ So the LCM of the given numbers is 2 x 23 x 93 x 470 = 2010660

Least Common Multiple of 46,186,940 with GCF Formula

Least Common Multiple of 46,186,940 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 46,186,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,186,940) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(46,186,940) x common factors =2 x 2 = 4

LCM(46,186,940) = ( 46 × 186 × 940 ) / 4

LCM(46,186,940) = 8042640 / 4

LCM(46,186,940) = 2010660


Lets's calculate GCF of 24,32,940

2 24, 32, 940
2 12, 16, 470
6, 8, 235

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2010660/4

Therefore the LCM of Fractions 46/24,186/32,940/940 is 502665

Greatest Common Factor of 24,32,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,32,940 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 24,32,940 . The biggest common factor number is the GCF number.
So the greatest common factor 24,32,940 is 4.


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 46/24, 186/32, 940/940

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 46/24, 186/32, 940/940?

Answer: LCM of Numerators as per given numbers 46/24, 186/32, 940/940 is

LCM of Numerators i.e. for 46,186,940 is 2010660

GCF of denominators i.e. for 24,32,940 is 4.

Thus, LCM of Fractions is 502665.Finally, LCM of Fractions for 46/24, 186/32, 940/940 is 502665.