Least Common Multiple of 7/45, 2/60, 16/75, 71/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/45, 2/60, 16/75, 71/996 quickly i.e. 7952/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/45, 2/60, 16/75, 71/996 is 7952/3.

LCM(7/45, 2/60, 16/75, 71/996) = 7952/3

LCM of 7/45, 2/60, 16/75, 71/996

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 7/45,2/60,16/75,71/996

Given numbers are 7/45,2/60,16/75,71/996

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 7,2,16,71

Least Common Multiple of Numerators i.e. LCM of 7,2,16,71 is 7952.

GCF of Denominators means GCF of 45,60,75,996 as per the given fractions.

GCF of 45,60,75,996 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,2,16,71

LCM of Fractions 7/45,2/60,16/75,71/996 is 7952/3

2 7, 2, 16, 71
7, 1, 8, 71

∴ So the LCM of the given numbers is 2 x 7 x 1 x 8 x 71 = 7952

Least Common Multiple of 7,2,16,71 with GCF Formula

Least Common Multiple of 7,2,16,71 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 7,2,16,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,2,16,71) = 1

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

GCF(7,2,16,71) x common factors =1 x 2 = 2

LCM(7,2,16,71) = ( 7 × 2 × 16 × 71 ) / 2

LCM(7,2,16,71) = 15904 / 2

LCM(7,2,16,71) = 7952


Lets's calculate GCF of 45,60,75,996

3 45, 60, 75, 996
15, 20, 25, 332

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7952/3

Therefore the LCM of Fractions 7/45,2/60,16/75,71/996 is 7952/3

Greatest Common Factor of 45,60,75,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,60,75,996 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 45,60,75,996 . The biggest common factor number is the GCF number.
So the greatest common factor 45,60,75,996 is 3.


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 7/45, 2/60, 16/75, 71/996

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 7/45, 2/60, 16/75, 71/996?

Answer: LCM of Numerators as per given numbers 7/45, 2/60, 16/75, 71/996 is

LCM of Numerators i.e. for 7,2,16,71 is 7952

GCF of denominators i.e. for 45,60,75,996 is 3.

Thus, LCM of Fractions is 7952/3.Finally, LCM of Fractions for 7/45, 2/60, 16/75, 71/996 is 7952/3.