Least Common Multiple of 46/42, 40/832, 814/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/42, 40/832, 814/516 quickly i.e. 187220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/42, 40/832, 814/516 is 187220.

LCM(46/42, 40/832, 814/516) = 187220

LCM of 46/42, 40/832, 814/516

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 46/42,40/832,814/516

Given numbers are 46/42,40/832,814/516

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 46,40,814

Least Common Multiple of Numerators i.e. LCM of 46,40,814 is 374440.

GCF of Denominators means GCF of 42,832,516 as per the given fractions.

GCF of 42,832,516 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,40,814

LCM of Fractions 46/42,40/832,814/516 is 187220

2 46, 40, 814
23, 20, 407

∴ So the LCM of the given numbers is 2 x 23 x 20 x 407 = 374440

Least Common Multiple of 46,40,814 with GCF Formula

Least Common Multiple of 46,40,814 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 46,40,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,40,814) = 2

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

GCF(46,40,814) x common factors =2 x 2 = 4

LCM(46,40,814) = ( 46 × 40 × 814 ) / 4

LCM(46,40,814) = 1497760 / 4

LCM(46,40,814) = 374440


Lets's calculate GCF of 42,832,516

2 42, 832, 516
21, 416, 258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 374440/2

Therefore the LCM of Fractions 46/42,40/832,814/516 is 187220

Greatest Common Factor of 42,832,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,832,516 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 42,832,516 . The biggest common factor number is the GCF number.
So the greatest common factor 42,832,516 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 46/42, 40/832, 814/516

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 46/42, 40/832, 814/516?

Answer: LCM of Numerators as per given numbers 46/42, 40/832, 814/516 is

LCM of Numerators i.e. for 46,40,814 is 374440

GCF of denominators i.e. for 42,832,516 is 2.

Thus, LCM of Fractions is 187220.Finally, LCM of Fractions for 46/42, 40/832, 814/516 is 187220.