Least Common Multiple of 43/45, 42/32, 34/75, 86/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/45, 42/32, 34/75, 86/42 quickly i.e. 30702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/45, 42/32, 34/75, 86/42 is 30702.

LCM(43/45, 42/32, 34/75, 86/42) = 30702

LCM of 43/45, 42/32, 34/75, 86/42

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 43/45,42/32,34/75,86/42

Given numbers are 43/45,42/32,34/75,86/42

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 43,42,34,86

Least Common Multiple of Numerators i.e. LCM of 43,42,34,86 is 30702.

GCF of Denominators means GCF of 45,32,75,42 as per the given fractions.

GCF of 45,32,75,42 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,42,34,86

LCM of Fractions 43/45,42/32,34/75,86/42 is 30702

2 43, 42, 34, 86
43 43, 21, 17, 43
1, 21, 17, 1

∴ So the LCM of the given numbers is 2 x 43 x 1 x 21 x 17 x 1 = 30702

Least Common Multiple of 43,42,34,86 with GCF Formula

Least Common Multiple of 43,42,34,86 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 43,42,34,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,42,34,86) = 1

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

GCF(43,42,34,86) x common factors =1 x 172 = 172

LCM(43,42,34,86) = ( 43 × 42 × 34 × 86 ) / 172

LCM(43,42,34,86) = 5280744 / 172

LCM(43,42,34,86) = 30702


Lets's calculate GCF of 45,32,75,42

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30702/1

Therefore the LCM of Fractions 43/45,42/32,34/75,86/42 is 30702

Greatest Common Factor of 45,32,75,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,32,75,42 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Greatest Common Factor

We found the factors 45,32,75,42 . The biggest common factor number is the GCF number.
So the greatest common factor 45,32,75,42 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 43/45, 42/32, 34/75, 86/42

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 43/45, 42/32, 34/75, 86/42?

Answer: LCM of Numerators as per given numbers 43/45, 42/32, 34/75, 86/42 is

LCM of Numerators i.e. for 43,42,34,86 is 30702

GCF of denominators i.e. for 45,32,75,42 is 1.

Thus, LCM of Fractions is 30702.Finally, LCM of Fractions for 43/45, 42/32, 34/75, 86/42 is 30702.