Least Common Multiple of 815/66, 308/90, 632/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 815/66, 308/90, 632/155 quickly i.e. 39661160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 815/66, 308/90, 632/155 is 39661160.

LCM(815/66, 308/90, 632/155) = 39661160

LCM of 815/66, 308/90, 632/155

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 815/66,308/90,632/155

Given numbers are 815/66,308/90,632/155

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 815,308,632

Least Common Multiple of Numerators i.e. LCM of 815,308,632 is 39661160.

GCF of Denominators means GCF of 66,90,155 as per the given fractions.

GCF of 66,90,155 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 815,308,632

LCM of Fractions 815/66,308/90,632/155 is 39661160

2 815, 308, 632
2 815, 154, 316
815, 77, 158

∴ So the LCM of the given numbers is 2 x 2 x 815 x 77 x 158 = 39661160

Least Common Multiple of 815,308,632 with GCF Formula

Least Common Multiple of 815,308,632 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 815,308,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(815,308,632) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(815,308,632) x common factors =1 x 4 = 4

LCM(815,308,632) = ( 815 × 308 × 632 ) / 4

LCM(815,308,632) = 158644640 / 4

LCM(815,308,632) = 39661160


Lets's calculate GCF of 66,90,155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39661160/1

Therefore the LCM of Fractions 815/66,308/90,632/155 is 39661160

Greatest Common Factor of 66,90,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,90,155 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 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 66,90,155 . The biggest common factor number is the GCF number.
So the greatest common factor 66,90,155 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 815/66, 308/90, 632/155

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 815/66, 308/90, 632/155?

Answer: LCM of Numerators as per given numbers 815/66, 308/90, 632/155 is

LCM of Numerators i.e. for 815,308,632 is 39661160

GCF of denominators i.e. for 66,90,155 is 1.

Thus, LCM of Fractions is 39661160.Finally, LCM of Fractions for 815/66, 308/90, 632/155 is 39661160.