Least Common Multiple of 46/812, 66/368, 853/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/812, 66/368, 853/311 quickly i.e. 1294854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/812, 66/368, 853/311 is 1294854.

LCM(46/812, 66/368, 853/311) = 1294854

LCM of 46/812, 66/368, 853/311

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 46/812,66/368,853/311

Given numbers are 46/812,66/368,853/311

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 46,66,853

Least Common Multiple of Numerators i.e. LCM of 46,66,853 is 1294854.

GCF of Denominators means GCF of 812,368,311 as per the given fractions.

GCF of 812,368,311 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,66,853

LCM of Fractions 46/812,66/368,853/311 is 1294854

2 46, 66, 853
23, 33, 853

∴ So the LCM of the given numbers is 2 x 23 x 33 x 853 = 1294854

Least Common Multiple of 46,66,853 with GCF Formula

Least Common Multiple of 46,66,853 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 46,66,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,66,853) = 1

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

GCF(46,66,853) x common factors =1 x 2 = 2

LCM(46,66,853) = ( 46 × 66 × 853 ) / 2

LCM(46,66,853) = 2589708 / 2

LCM(46,66,853) = 1294854


Lets's calculate GCF of 812,368,311

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1294854/1

Therefore the LCM of Fractions 46/812,66/368,853/311 is 1294854

Greatest Common Factor of 812,368,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,368,311 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 812,368,311 . The biggest common factor number is the GCF number.
So the greatest common factor 812,368,311 is 1.


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 46/812, 66/368, 853/311

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 46/812, 66/368, 853/311?

Answer: LCM of Numerators as per given numbers 46/812, 66/368, 853/311 is

LCM of Numerators i.e. for 46,66,853 is 1294854

GCF of denominators i.e. for 812,368,311 is 1.

Thus, LCM of Fractions is 1294854.Finally, LCM of Fractions for 46/812, 66/368, 853/311 is 1294854.