Least Common Multiple of 46/718, 12/472, 598/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/718, 12/472, 598/215 quickly i.e. 3588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/718, 12/472, 598/215 is 3588.

LCM(46/718, 12/472, 598/215) = 3588

LCM of 46/718, 12/472, 598/215

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 46/718,12/472,598/215

Given numbers are 46/718,12/472,598/215

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 46,12,598

Least Common Multiple of Numerators i.e. LCM of 46,12,598 is 3588.

GCF of Denominators means GCF of 718,472,215 as per the given fractions.

GCF of 718,472,215 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,12,598

LCM of Fractions 46/718,12/472,598/215 is 3588

2 46, 12, 598
23 23, 6, 299
1, 6, 13

∴ So the LCM of the given numbers is 2 x 23 x 1 x 6 x 13 = 3588

Least Common Multiple of 46,12,598 with GCF Formula

Least Common Multiple of 46,12,598 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 46,12,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,12,598) = 2

common factors(in case of two or more numbers have common factors) = 46

GCF(46,12,598) x common factors =2 x 46 = 92

LCM(46,12,598) = ( 46 × 12 × 598 ) / 92

LCM(46,12,598) = 330096 / 92

LCM(46,12,598) = 3588


Lets's calculate GCF of 718,472,215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3588/1

Therefore the LCM of Fractions 46/718,12/472,598/215 is 3588

Greatest Common Factor of 718,472,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,472,215 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 718,472,215 . The biggest common factor number is the GCF number.
So the greatest common factor 718,472,215 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 46/718, 12/472, 598/215

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 46/718, 12/472, 598/215?

Answer: LCM of Numerators as per given numbers 46/718, 12/472, 598/215 is

LCM of Numerators i.e. for 46,12,598 is 3588

GCF of denominators i.e. for 718,472,215 is 1.

Thus, LCM of Fractions is 3588.Finally, LCM of Fractions for 46/718, 12/472, 598/215 is 3588.