Least Common Multiple of 78/93, 45/784, 212/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/93, 45/784, 212/186 quickly i.e. 124020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/93, 45/784, 212/186 is 124020.

LCM(78/93, 45/784, 212/186) = 124020

LCM of 78/93, 45/784, 212/186

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 78/93,45/784,212/186

Given numbers are 78/93,45/784,212/186

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 78,45,212

Least Common Multiple of Numerators i.e. LCM of 78,45,212 is 124020.

GCF of Denominators means GCF of 93,784,186 as per the given fractions.

GCF of 93,784,186 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,45,212

LCM of Fractions 78/93,45/784,212/186 is 124020

2 78, 45, 212
3 39, 45, 106
13, 15, 106

∴ So the LCM of the given numbers is 2 x 3 x 13 x 15 x 106 = 124020

Least Common Multiple of 78,45,212 with GCF Formula

Least Common Multiple of 78,45,212 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 78,45,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,45,212) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,45,212) x common factors =1 x 6 = 6

LCM(78,45,212) = ( 78 × 45 × 212 ) / 6

LCM(78,45,212) = 744120 / 6

LCM(78,45,212) = 124020


Lets's calculate GCF of 93,784,186

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124020/1

Therefore the LCM of Fractions 78/93,45/784,212/186 is 124020

Greatest Common Factor of 93,784,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,784,186 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

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 93,784,186 . The biggest common factor number is the GCF number.
So the greatest common factor 93,784,186 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 78/93, 45/784, 212/186

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 78/93, 45/784, 212/186?

Answer: LCM of Numerators as per given numbers 78/93, 45/784, 212/186 is

LCM of Numerators i.e. for 78,45,212 is 124020

GCF of denominators i.e. for 93,784,186 is 1.

Thus, LCM of Fractions is 124020.Finally, LCM of Fractions for 78/93, 45/784, 212/186 is 124020.