Least Common Multiple of 40/352, 71/256, 845/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/352, 71/256, 845/572 quickly i.e. 119990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/352, 71/256, 845/572 is 119990.

LCM(40/352, 71/256, 845/572) = 119990

LCM of 40/352, 71/256, 845/572

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 40/352,71/256,845/572

Given numbers are 40/352,71/256,845/572

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 40,71,845

Least Common Multiple of Numerators i.e. LCM of 40,71,845 is 479960.

GCF of Denominators means GCF of 352,256,572 as per the given fractions.

GCF of 352,256,572 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,71,845

LCM of Fractions 40/352,71/256,845/572 is 119990

5 40, 71, 845
8, 71, 169

∴ So the LCM of the given numbers is 5 x 8 x 71 x 169 = 479960

Least Common Multiple of 40,71,845 with GCF Formula

Least Common Multiple of 40,71,845 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 40,71,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,71,845) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(40,71,845) x common factors =1 x 5 = 5

LCM(40,71,845) = ( 40 × 71 × 845 ) / 5

LCM(40,71,845) = 2399800 / 5

LCM(40,71,845) = 479960


Lets's calculate GCF of 352,256,572

2 352, 256, 572
2 176, 128, 286
88, 64, 143

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 479960/4

Therefore the LCM of Fractions 40/352,71/256,845/572 is 119990

Greatest Common Factor of 352,256,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,256,572 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 352,256,572 . The biggest common factor number is the GCF number.
So the greatest common factor 352,256,572 is 4.


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 40/352, 71/256, 845/572

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 40/352, 71/256, 845/572?

Answer: LCM of Numerators as per given numbers 40/352, 71/256, 845/572 is

LCM of Numerators i.e. for 40,71,845 is 479960

GCF of denominators i.e. for 352,256,572 is 4.

Thus, LCM of Fractions is 119990.Finally, LCM of Fractions for 40/352, 71/256, 845/572 is 119990.