Least Common Multiple of 7/96, 20/149, 38/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/96, 20/149, 38/505 quickly i.e. 2660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/96, 20/149, 38/505 is 2660.

LCM(7/96, 20/149, 38/505) = 2660

LCM of 7/96, 20/149, 38/505

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 7/96,20/149,38/505

Given numbers are 7/96,20/149,38/505

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 7,20,38

Least Common Multiple of Numerators i.e. LCM of 7,20,38 is 2660.

GCF of Denominators means GCF of 96,149,505 as per the given fractions.

GCF of 96,149,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,20,38

LCM of Fractions 7/96,20/149,38/505 is 2660

2 7, 20, 38
7, 10, 19

∴ So the LCM of the given numbers is 2 x 7 x 10 x 19 = 2660

Least Common Multiple of 7,20,38 with GCF Formula

Least Common Multiple of 7,20,38 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 7,20,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,20,38) = 1

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

GCF(7,20,38) x common factors =1 x 2 = 2

LCM(7,20,38) = ( 7 × 20 × 38 ) / 2

LCM(7,20,38) = 5320 / 2

LCM(7,20,38) = 2660


Lets's calculate GCF of 96,149,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2660/1

Therefore the LCM of Fractions 7/96,20/149,38/505 is 2660

Greatest Common Factor of 96,149,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,149,505 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 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 96,149,505 . The biggest common factor number is the GCF number.
So the greatest common factor 96,149,505 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 7/96, 20/149, 38/505

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 7/96, 20/149, 38/505?

Answer: LCM of Numerators as per given numbers 7/96, 20/149, 38/505 is

LCM of Numerators i.e. for 7,20,38 is 2660

GCF of denominators i.e. for 96,149,505 is 1.

Thus, LCM of Fractions is 2660.Finally, LCM of Fractions for 7/96, 20/149, 38/505 is 2660.