Least Common Multiple of 308/96, 611/41, 146/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/96, 611/41, 146/155 quickly i.e. 13737724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/96, 611/41, 146/155 is 13737724.

LCM(308/96, 611/41, 146/155) = 13737724

LCM of 308/96, 611/41, 146/155

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 308/96,611/41,146/155

Given numbers are 308/96,611/41,146/155

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 308,611,146

Least Common Multiple of Numerators i.e. LCM of 308,611,146 is 13737724.

GCF of Denominators means GCF of 96,41,155 as per the given fractions.

GCF of 96,41,155 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,611,146

LCM of Fractions 308/96,611/41,146/155 is 13737724

2 308, 611, 146
154, 611, 73

∴ So the LCM of the given numbers is 2 x 154 x 611 x 73 = 13737724

Least Common Multiple of 308,611,146 with GCF Formula

Least Common Multiple of 308,611,146 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 308,611,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,611,146) = 1

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

GCF(308,611,146) x common factors =1 x 2 = 2

LCM(308,611,146) = ( 308 × 611 × 146 ) / 2

LCM(308,611,146) = 27475448 / 2

LCM(308,611,146) = 13737724


Lets's calculate GCF of 96,41,155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13737724/1

Therefore the LCM of Fractions 308/96,611/41,146/155 is 13737724

Greatest Common Factor of 96,41,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,41,155 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

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 96,41,155 . The biggest common factor number is the GCF number.
So the greatest common factor 96,41,155 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 308/96, 611/41, 146/155

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 308/96, 611/41, 146/155?

Answer: LCM of Numerators as per given numbers 308/96, 611/41, 146/155 is

LCM of Numerators i.e. for 308,611,146 is 13737724

GCF of denominators i.e. for 96,41,155 is 1.

Thus, LCM of Fractions is 13737724.Finally, LCM of Fractions for 308/96, 611/41, 146/155 is 13737724.