Least Common Multiple of 71/458, 40/396, 140/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/458, 40/396, 140/328 quickly i.e. 9940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/458, 40/396, 140/328 is 9940.

LCM(71/458, 40/396, 140/328) = 9940

LCM of 71/458, 40/396, 140/328

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 71/458,40/396,140/328

Given numbers are 71/458,40/396,140/328

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 71,40,140

Least Common Multiple of Numerators i.e. LCM of 71,40,140 is 19880.

GCF of Denominators means GCF of 458,396,328 as per the given fractions.

GCF of 458,396,328 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,40,140

LCM of Fractions 71/458,40/396,140/328 is 9940

2 71, 40, 140
2 71, 20, 70
5 71, 10, 35
71, 2, 7

∴ So the LCM of the given numbers is 2 x 2 x 5 x 71 x 2 x 7 = 19880

Least Common Multiple of 71,40,140 with GCF Formula

Least Common Multiple of 71,40,140 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 71,40,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,40,140) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(71,40,140) x common factors =1 x 20 = 20

LCM(71,40,140) = ( 71 × 40 × 140 ) / 20

LCM(71,40,140) = 397600 / 20

LCM(71,40,140) = 19880


Lets's calculate GCF of 458,396,328

2 458, 396, 328
229, 198, 164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19880/2

Therefore the LCM of Fractions 71/458,40/396,140/328 is 9940

Greatest Common Factor of 458,396,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,396,328 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

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

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 458,396,328 . The biggest common factor number is the GCF number.
So the greatest common factor 458,396,328 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 71/458, 40/396, 140/328

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 71/458, 40/396, 140/328?

Answer: LCM of Numerators as per given numbers 71/458, 40/396, 140/328 is

LCM of Numerators i.e. for 71,40,140 is 19880

GCF of denominators i.e. for 458,396,328 is 2.

Thus, LCM of Fractions is 9940.Finally, LCM of Fractions for 71/458, 40/396, 140/328 is 9940.