Least Common Multiple of 58/78, 93/50, 83/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/78, 93/50, 83/186 quickly i.e. 223851 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/78, 93/50, 83/186 is 223851.

LCM(58/78, 93/50, 83/186) = 223851

LCM of 58/78, 93/50, 83/186

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 58/78,93/50,83/186

Given numbers are 58/78,93/50,83/186

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 58,93,83

Least Common Multiple of Numerators i.e. LCM of 58,93,83 is 447702.

GCF of Denominators means GCF of 78,50,186 as per the given fractions.

GCF of 78,50,186 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,93,83

LCM of Fractions 58/78,93/50,83/186 is 223851

Given numbers has no common factors except 1. So, there LCM is their product i.e 447702

Least Common Multiple of 58,93,83 with GCF Formula

Least Common Multiple of 58,93,83 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 58,93,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,93,83) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(58,93,83) x common factors =1 x 1 = 1

LCM(58,93,83) = ( 58 × 93 × 83 ) / 1

LCM(58,93,83) = 447702 / 1

LCM(58,93,83) = 447702


Lets's calculate GCF of 78,50,186

2 78, 50, 186
39, 25, 93

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 447702/2

Therefore the LCM of Fractions 58/78,93/50,83/186 is 223851

Greatest Common Factor of 78,50,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,50,186 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 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 78,50,186 . The biggest common factor number is the GCF number.
So the greatest common factor 78,50,186 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 58/78, 93/50, 83/186

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 58/78, 93/50, 83/186?

Answer: LCM of Numerators as per given numbers 58/78, 93/50, 83/186 is

LCM of Numerators i.e. for 58,93,83 is 447702

GCF of denominators i.e. for 78,50,186 is 2.

Thus, LCM of Fractions is 223851.Finally, LCM of Fractions for 58/78, 93/50, 83/186 is 223851.