Least Common Multiple of 93/99, 20/74, 406/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/99, 20/74, 406/759 quickly i.e. 377580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/99, 20/74, 406/759 is 377580.

LCM(93/99, 20/74, 406/759) = 377580

LCM of 93/99, 20/74, 406/759

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 93/99,20/74,406/759

Given numbers are 93/99,20/74,406/759

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 93,20,406

Least Common Multiple of Numerators i.e. LCM of 93,20,406 is 377580.

GCF of Denominators means GCF of 99,74,759 as per the given fractions.

GCF of 99,74,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,20,406

LCM of Fractions 93/99,20/74,406/759 is 377580

2 93, 20, 406
93, 10, 203

∴ So the LCM of the given numbers is 2 x 93 x 10 x 203 = 377580

Least Common Multiple of 93,20,406 with GCF Formula

Least Common Multiple of 93,20,406 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 93,20,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,20,406) = 1

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

GCF(93,20,406) x common factors =1 x 2 = 2

LCM(93,20,406) = ( 93 × 20 × 406 ) / 2

LCM(93,20,406) = 755160 / 2

LCM(93,20,406) = 377580


Lets's calculate GCF of 99,74,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377580/1

Therefore the LCM of Fractions 93/99,20/74,406/759 is 377580

Greatest Common Factor of 99,74,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,74,759 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 99,74,759 . The biggest common factor number is the GCF number.
So the greatest common factor 99,74,759 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 93/99, 20/74, 406/759

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 93/99, 20/74, 406/759?

Answer: LCM of Numerators as per given numbers 93/99, 20/74, 406/759 is

LCM of Numerators i.e. for 93,20,406 is 377580

GCF of denominators i.e. for 99,74,759 is 1.

Thus, LCM of Fractions is 377580.Finally, LCM of Fractions for 93/99, 20/74, 406/759 is 377580.