Least Common Multiple of 93/66, 831/30, 778/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/66, 831/30, 778/270 quickly i.e. 3340343 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/66, 831/30, 778/270 is 3340343.

LCM(93/66, 831/30, 778/270) = 3340343

LCM of 93/66, 831/30, 778/270

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 93/66,831/30,778/270

Given numbers are 93/66,831/30,778/270

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 93,831,778

Least Common Multiple of Numerators i.e. LCM of 93,831,778 is 20042058.

GCF of Denominators means GCF of 66,30,270 as per the given fractions.

GCF of 66,30,270 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,831,778

LCM of Fractions 93/66,831/30,778/270 is 3340343

3 93, 831, 778
31, 277, 778

∴ So the LCM of the given numbers is 3 x 31 x 277 x 778 = 20042058

Least Common Multiple of 93,831,778 with GCF Formula

Least Common Multiple of 93,831,778 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 93,831,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,831,778) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(93,831,778) x common factors =1 x 3 = 3

LCM(93,831,778) = ( 93 × 831 × 778 ) / 3

LCM(93,831,778) = 60126174 / 3

LCM(93,831,778) = 20042058


Lets's calculate GCF of 66,30,270

2 66, 30, 270
3 33, 15, 135
11, 5, 45

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20042058/6

Therefore the LCM of Fractions 93/66,831/30,778/270 is 3340343

Greatest Common Factor of 66,30,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,30,270 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

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 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 66,30,270 . The biggest common factor number is the GCF number.
So the greatest common factor 66,30,270 is 6.


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 93/66, 831/30, 778/270

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 93/66, 831/30, 778/270?

Answer: LCM of Numerators as per given numbers 93/66, 831/30, 778/270 is

LCM of Numerators i.e. for 93,831,778 is 20042058

GCF of denominators i.e. for 66,30,270 is 6.

Thus, LCM of Fractions is 3340343.Finally, LCM of Fractions for 93/66, 831/30, 778/270 is 3340343.