Least Common Multiple of 40/12, 52/43, 32/62, 35/887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/12, 52/43, 32/62, 35/887 quickly i.e. 14560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/12, 52/43, 32/62, 35/887 is 14560.

LCM(40/12, 52/43, 32/62, 35/887) = 14560

LCM of 40/12, 52/43, 32/62, 35/887

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 40/12,52/43,32/62,35/887

Given numbers are 40/12,52/43,32/62,35/887

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 40,52,32,35

Least Common Multiple of Numerators i.e. LCM of 40,52,32,35 is 14560.

GCF of Denominators means GCF of 12,43,62,887 as per the given fractions.

GCF of 12,43,62,887 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,52,32,35

LCM of Fractions 40/12,52/43,32/62,35/887 is 14560

2 40, 52, 32, 35
2 20, 26, 16, 35
2 10, 13, 8, 35
5 5, 13, 4, 35
1, 13, 4, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 13 x 4 x 7 = 14560

Least Common Multiple of 40,52,32,35 with GCF Formula

Least Common Multiple of 40,52,32,35 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 40,52,32,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,52,32,35) = 1

common factors(in case of two or more numbers have common factors) = 160

GCF(40,52,32,35) x common factors =1 x 160 = 160

LCM(40,52,32,35) = ( 40 × 52 × 32 × 35 ) / 160

LCM(40,52,32,35) = 2329600 / 160

LCM(40,52,32,35) = 14560


Lets's calculate GCF of 12,43,62,887

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14560/1

Therefore the LCM of Fractions 40/12,52/43,32/62,35/887 is 14560

Greatest Common Factor of 12,43,62,887 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,43,62,887 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Greatest Common Factor

We found the factors 12,43,62,887 . The biggest common factor number is the GCF number.
So the greatest common factor 12,43,62,887 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 40/12, 52/43, 32/62, 35/887

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 40/12, 52/43, 32/62, 35/887?

Answer: LCM of Numerators as per given numbers 40/12, 52/43, 32/62, 35/887 is

LCM of Numerators i.e. for 40,52,32,35 is 14560

GCF of denominators i.e. for 12,43,62,887 is 1.

Thus, LCM of Fractions is 14560.Finally, LCM of Fractions for 40/12, 52/43, 32/62, 35/887 is 14560.