Least Common Multiple of 46/522, 820/346, 703/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/522, 820/346, 703/396 quickly i.e. 6629290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/522, 820/346, 703/396 is 6629290.

LCM(46/522, 820/346, 703/396) = 6629290

LCM of 46/522, 820/346, 703/396

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 46/522,820/346,703/396

Given numbers are 46/522,820/346,703/396

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 46,820,703

Least Common Multiple of Numerators i.e. LCM of 46,820,703 is 13258580.

GCF of Denominators means GCF of 522,346,396 as per the given fractions.

GCF of 522,346,396 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,820,703

LCM of Fractions 46/522,820/346,703/396 is 6629290

2 46, 820, 703
23, 410, 703

∴ So the LCM of the given numbers is 2 x 23 x 410 x 703 = 13258580

Least Common Multiple of 46,820,703 with GCF Formula

Least Common Multiple of 46,820,703 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 46,820,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,820,703) = 1

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

GCF(46,820,703) x common factors =1 x 2 = 2

LCM(46,820,703) = ( 46 × 820 × 703 ) / 2

LCM(46,820,703) = 26517160 / 2

LCM(46,820,703) = 13258580


Lets's calculate GCF of 522,346,396

2 522, 346, 396
261, 173, 198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13258580/2

Therefore the LCM of Fractions 46/522,820/346,703/396 is 6629290

Greatest Common Factor of 522,346,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,346,396 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 522,346,396 . The biggest common factor number is the GCF number.
So the greatest common factor 522,346,396 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 46/522, 820/346, 703/396

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 46/522, 820/346, 703/396?

Answer: LCM of Numerators as per given numbers 46/522, 820/346, 703/396 is

LCM of Numerators i.e. for 46,820,703 is 13258580

GCF of denominators i.e. for 522,346,396 is 2.

Thus, LCM of Fractions is 6629290.Finally, LCM of Fractions for 46/522, 820/346, 703/396 is 6629290.