Least Common Multiple of 61/30, 83/41, 86/57, 42/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/30, 83/41, 86/57, 42/178 quickly i.e. 9143778 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/30, 83/41, 86/57, 42/178 is 9143778.

LCM(61/30, 83/41, 86/57, 42/178) = 9143778

LCM of 61/30, 83/41, 86/57, 42/178

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 61/30,83/41,86/57,42/178

Given numbers are 61/30,83/41,86/57,42/178

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 61,83,86,42

Least Common Multiple of Numerators i.e. LCM of 61,83,86,42 is 9143778.

GCF of Denominators means GCF of 30,41,57,178 as per the given fractions.

GCF of 30,41,57,178 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,83,86,42

LCM of Fractions 61/30,83/41,86/57,42/178 is 9143778

2 61, 83, 86, 42
61, 83, 43, 21

∴ So the LCM of the given numbers is 2 x 61 x 83 x 43 x 21 = 9143778

Least Common Multiple of 61,83,86,42 with GCF Formula

Least Common Multiple of 61,83,86,42 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 61,83,86,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,83,86,42) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(61,83,86,42) x common factors =1 x 2 = 2

LCM(61,83,86,42) = ( 61 × 83 × 86 × 42 ) / 2

LCM(61,83,86,42) = 18287556 / 2

LCM(61,83,86,42) = 9143778


Lets's calculate GCF of 30,41,57,178

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9143778/1

Therefore the LCM of Fractions 61/30,83/41,86/57,42/178 is 9143778

Greatest Common Factor of 30,41,57,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,41,57,178 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 30,41,57,178 . The biggest common factor number is the GCF number.
So the greatest common factor 30,41,57,178 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 61/30, 83/41, 86/57, 42/178

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 61/30, 83/41, 86/57, 42/178?

Answer: LCM of Numerators as per given numbers 61/30, 83/41, 86/57, 42/178 is

LCM of Numerators i.e. for 61,83,86,42 is 9143778

GCF of denominators i.e. for 30,41,57,178 is 1.

Thus, LCM of Fractions is 9143778.Finally, LCM of Fractions for 61/30, 83/41, 86/57, 42/178 is 9143778.