Least Common Multiple of 87/33, 40/37, 51/71, 42/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/33, 40/37, 51/71, 42/452 quickly i.e. 414120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/33, 40/37, 51/71, 42/452 is 414120.

LCM(87/33, 40/37, 51/71, 42/452) = 414120

LCM of 87/33, 40/37, 51/71, 42/452

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 87/33,40/37,51/71,42/452

Given numbers are 87/33,40/37,51/71,42/452

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 87,40,51,42

Least Common Multiple of Numerators i.e. LCM of 87,40,51,42 is 414120.

GCF of Denominators means GCF of 33,37,71,452 as per the given fractions.

GCF of 33,37,71,452 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,40,51,42

LCM of Fractions 87/33,40/37,51/71,42/452 is 414120

2 87, 40, 51, 42
3 87, 20, 51, 21
29, 20, 17, 7

∴ So the LCM of the given numbers is 2 x 3 x 29 x 20 x 17 x 7 = 414120

Least Common Multiple of 87,40,51,42 with GCF Formula

Least Common Multiple of 87,40,51,42 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 87,40,51,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,40,51,42) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(87,40,51,42) x common factors =1 x 18 = 18

LCM(87,40,51,42) = ( 87 × 40 × 51 × 42 ) / 18

LCM(87,40,51,42) = 7454160 / 18

LCM(87,40,51,42) = 414120


Lets's calculate GCF of 33,37,71,452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414120/1

Therefore the LCM of Fractions 87/33,40/37,51/71,42/452 is 414120

Greatest Common Factor of 33,37,71,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,37,71,452 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 33,37,71,452 . The biggest common factor number is the GCF number.
So the greatest common factor 33,37,71,452 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 87/33, 40/37, 51/71, 42/452

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 87/33, 40/37, 51/71, 42/452?

Answer: LCM of Numerators as per given numbers 87/33, 40/37, 51/71, 42/452 is

LCM of Numerators i.e. for 87,40,51,42 is 414120

GCF of denominators i.e. for 33,37,71,452 is 1.

Thus, LCM of Fractions is 414120.Finally, LCM of Fractions for 87/33, 40/37, 51/71, 42/452 is 414120.