Least Common Multiple of 46/898, 255/468, 397/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/898, 255/468, 397/216 quickly i.e. 2328405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/898, 255/468, 397/216 is 2328405.

LCM(46/898, 255/468, 397/216) = 2328405

LCM of 46/898, 255/468, 397/216

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 46/898,255/468,397/216

Given numbers are 46/898,255/468,397/216

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 46,255,397

Least Common Multiple of Numerators i.e. LCM of 46,255,397 is 4656810.

GCF of Denominators means GCF of 898,468,216 as per the given fractions.

GCF of 898,468,216 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,255,397

LCM of Fractions 46/898,255/468,397/216 is 2328405

Given numbers has no common factors except 1. So, there LCM is their product i.e 4656810

Least Common Multiple of 46,255,397 with GCF Formula

Least Common Multiple of 46,255,397 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 46,255,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,255,397) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(46,255,397) x common factors =1 x 1 = 1

LCM(46,255,397) = ( 46 × 255 × 397 ) / 1

LCM(46,255,397) = 4656810 / 1

LCM(46,255,397) = 4656810


Lets's calculate GCF of 898,468,216

2 898, 468, 216
449, 234, 108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4656810/2

Therefore the LCM of Fractions 46/898,255/468,397/216 is 2328405

Greatest Common Factor of 898,468,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,468,216 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 898,468,216 . The biggest common factor number is the GCF number.
So the greatest common factor 898,468,216 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 46/898, 255/468, 397/216

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 46/898, 255/468, 397/216?

Answer: LCM of Numerators as per given numbers 46/898, 255/468, 397/216 is

LCM of Numerators i.e. for 46,255,397 is 4656810

GCF of denominators i.e. for 898,468,216 is 2.

Thus, LCM of Fractions is 2328405.Finally, LCM of Fractions for 46/898, 255/468, 397/216 is 2328405.