Least Common Multiple of 42/78, 11/80, 58/92, 32/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/78, 11/80, 58/92, 32/590 quickly i.e. 107184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/78, 11/80, 58/92, 32/590 is 107184.

LCM(42/78, 11/80, 58/92, 32/590) = 107184

LCM of 42/78, 11/80, 58/92, 32/590

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 42/78,11/80,58/92,32/590

Given numbers are 42/78,11/80,58/92,32/590

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 42,11,58,32

Least Common Multiple of Numerators i.e. LCM of 42,11,58,32 is 214368.

GCF of Denominators means GCF of 78,80,92,590 as per the given fractions.

GCF of 78,80,92,590 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,11,58,32

LCM of Fractions 42/78,11/80,58/92,32/590 is 107184

2 42, 11, 58, 32
21, 11, 29, 16

∴ So the LCM of the given numbers is 2 x 21 x 11 x 29 x 16 = 214368

Least Common Multiple of 42,11,58,32 with GCF Formula

Least Common Multiple of 42,11,58,32 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 42,11,58,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,11,58,32) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(42,11,58,32) x common factors =1 x 4 = 4

LCM(42,11,58,32) = ( 42 × 11 × 58 × 32 ) / 4

LCM(42,11,58,32) = 857472 / 4

LCM(42,11,58,32) = 214368


Lets's calculate GCF of 78,80,92,590

2 78, 80, 92, 590
39, 40, 46, 295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214368/2

Therefore the LCM of Fractions 42/78,11/80,58/92,32/590 is 107184

Greatest Common Factor of 78,80,92,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,80,92,590 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 78,80,92,590 . The biggest common factor number is the GCF number.
So the greatest common factor 78,80,92,590 is 2.


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 42/78, 11/80, 58/92, 32/590

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 42/78, 11/80, 58/92, 32/590?

Answer: LCM of Numerators as per given numbers 42/78, 11/80, 58/92, 32/590 is

LCM of Numerators i.e. for 42,11,58,32 is 214368

GCF of denominators i.e. for 78,80,92,590 is 2.

Thus, LCM of Fractions is 107184.Finally, LCM of Fractions for 42/78, 11/80, 58/92, 32/590 is 107184.