Least Common Multiple of 1/48, 3/65, 78/28, 80/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/48, 3/65, 78/28, 80/471 quickly i.e. 3120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/48, 3/65, 78/28, 80/471 is 3120.

LCM(1/48, 3/65, 78/28, 80/471) = 3120

LCM of 1/48, 3/65, 78/28, 80/471

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 1/48,3/65,78/28,80/471

Given numbers are 1/48,3/65,78/28,80/471

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 1,3,78,80

Least Common Multiple of Numerators i.e. LCM of 1,3,78,80 is 3120.

GCF of Denominators means GCF of 48,65,28,471 as per the given fractions.

GCF of 48,65,28,471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,3,78,80

LCM of Fractions 1/48,3/65,78/28,80/471 is 3120

2 1, 3, 78, 80
3 1, 3, 39, 40
1, 1, 13, 40

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 13 x 40 = 3120

Least Common Multiple of 1,3,78,80 with GCF Formula

Least Common Multiple of 1,3,78,80 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 1,3,78,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,3,78,80) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(1,3,78,80) x common factors =1 x 6 = 6

LCM(1,3,78,80) = ( 1 × 3 × 78 × 80 ) / 6

LCM(1,3,78,80) = 18720 / 6

LCM(1,3,78,80) = 3120


Lets's calculate GCF of 48,65,28,471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3120/1

Therefore the LCM of Fractions 1/48,3/65,78/28,80/471 is 3120

Greatest Common Factor of 48,65,28,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,65,28,471 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 48,65,28,471 . The biggest common factor number is the GCF number.
So the greatest common factor 48,65,28,471 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 1/48, 3/65, 78/28, 80/471

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 1/48, 3/65, 78/28, 80/471?

Answer: LCM of Numerators as per given numbers 1/48, 3/65, 78/28, 80/471 is

LCM of Numerators i.e. for 1,3,78,80 is 3120

GCF of denominators i.e. for 48,65,28,471 is 1.

Thus, LCM of Fractions is 3120.Finally, LCM of Fractions for 1/48, 3/65, 78/28, 80/471 is 3120.