Least Common Multiple of 43/38, 80/25, 86/87, 78/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/38, 80/25, 86/87, 78/642 quickly i.e. 134160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/38, 80/25, 86/87, 78/642 is 134160.

LCM(43/38, 80/25, 86/87, 78/642) = 134160

LCM of 43/38, 80/25, 86/87, 78/642

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 43/38,80/25,86/87,78/642

Given numbers are 43/38,80/25,86/87,78/642

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 43,80,86,78

Least Common Multiple of Numerators i.e. LCM of 43,80,86,78 is 134160.

GCF of Denominators means GCF of 38,25,87,642 as per the given fractions.

GCF of 38,25,87,642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,80,86,78

LCM of Fractions 43/38,80/25,86/87,78/642 is 134160

2 43, 80, 86, 78
43 43, 40, 43, 39
1, 40, 1, 39

∴ So the LCM of the given numbers is 2 x 43 x 1 x 40 x 1 x 39 = 134160

Least Common Multiple of 43,80,86,78 with GCF Formula

Least Common Multiple of 43,80,86,78 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 43,80,86,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,80,86,78) = 1

common factors(in case of two or more numbers have common factors) = 172

GCF(43,80,86,78) x common factors =1 x 172 = 172

LCM(43,80,86,78) = ( 43 × 80 × 86 × 78 ) / 172

LCM(43,80,86,78) = 23075520 / 172

LCM(43,80,86,78) = 134160


Lets's calculate GCF of 38,25,87,642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134160/1

Therefore the LCM of Fractions 43/38,80/25,86/87,78/642 is 134160

Greatest Common Factor of 38,25,87,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,25,87,642 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 38,25,87,642 . The biggest common factor number is the GCF number.
So the greatest common factor 38,25,87,642 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 43/38, 80/25, 86/87, 78/642

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 43/38, 80/25, 86/87, 78/642?

Answer: LCM of Numerators as per given numbers 43/38, 80/25, 86/87, 78/642 is

LCM of Numerators i.e. for 43,80,86,78 is 134160

GCF of denominators i.e. for 38,25,87,642 is 1.

Thus, LCM of Fractions is 134160.Finally, LCM of Fractions for 43/38, 80/25, 86/87, 78/642 is 134160.