Least Common Multiple of 218/40, 278/46, 317/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/40, 278/46, 317/162 quickly i.e. 4802867 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/40, 278/46, 317/162 is 4802867.

LCM(218/40, 278/46, 317/162) = 4802867

LCM of 218/40, 278/46, 317/162

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 218/40,278/46,317/162

Given numbers are 218/40,278/46,317/162

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 218,278,317

Least Common Multiple of Numerators i.e. LCM of 218,278,317 is 9605734.

GCF of Denominators means GCF of 40,46,162 as per the given fractions.

GCF of 40,46,162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,278,317

LCM of Fractions 218/40,278/46,317/162 is 4802867

2 218, 278, 317
109, 139, 317

∴ So the LCM of the given numbers is 2 x 109 x 139 x 317 = 9605734

Least Common Multiple of 218,278,317 with GCF Formula

Least Common Multiple of 218,278,317 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 218,278,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,278,317) = 1

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

GCF(218,278,317) x common factors =1 x 2 = 2

LCM(218,278,317) = ( 218 × 278 × 317 ) / 2

LCM(218,278,317) = 19211468 / 2

LCM(218,278,317) = 9605734


Lets's calculate GCF of 40,46,162

2 40, 46, 162
20, 23, 81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9605734/2

Therefore the LCM of Fractions 218/40,278/46,317/162 is 4802867

Greatest Common Factor of 40,46,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,46,162 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 40,46,162 . The biggest common factor number is the GCF number.
So the greatest common factor 40,46,162 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 218/40, 278/46, 317/162

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 218/40, 278/46, 317/162?

Answer: LCM of Numerators as per given numbers 218/40, 278/46, 317/162 is

LCM of Numerators i.e. for 218,278,317 is 9605734

GCF of denominators i.e. for 40,46,162 is 2.

Thus, LCM of Fractions is 4802867.Finally, LCM of Fractions for 218/40, 278/46, 317/162 is 4802867.