Least Common Multiple of 92/53, 57/13, 80/68, 48/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/53, 57/13, 80/68, 48/390 quickly i.e. 104880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/53, 57/13, 80/68, 48/390 is 104880.

LCM(92/53, 57/13, 80/68, 48/390) = 104880

LCM of 92/53, 57/13, 80/68, 48/390

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 92/53,57/13,80/68,48/390

Given numbers are 92/53,57/13,80/68,48/390

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 92,57,80,48

Least Common Multiple of Numerators i.e. LCM of 92,57,80,48 is 104880.

GCF of Denominators means GCF of 53,13,68,390 as per the given fractions.

GCF of 53,13,68,390 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,57,80,48

LCM of Fractions 92/53,57/13,80/68,48/390 is 104880

2 92, 57, 80, 48
2 46, 57, 40, 24
2 23, 57, 20, 12
2 23, 57, 10, 6
3 23, 57, 5, 3
23, 19, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 23 x 19 x 5 x 1 = 104880

Least Common Multiple of 92,57,80,48 with GCF Formula

Least Common Multiple of 92,57,80,48 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 92,57,80,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,57,80,48) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(92,57,80,48) x common factors =1 x 192 = 192

LCM(92,57,80,48) = ( 92 × 57 × 80 × 48 ) / 192

LCM(92,57,80,48) = 20136960 / 192

LCM(92,57,80,48) = 104880


Lets's calculate GCF of 53,13,68,390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104880/1

Therefore the LCM of Fractions 92/53,57/13,80/68,48/390 is 104880

Greatest Common Factor of 53,13,68,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,13,68,390 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 53,13,68,390 . The biggest common factor number is the GCF number.
So the greatest common factor 53,13,68,390 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 92/53, 57/13, 80/68, 48/390

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 92/53, 57/13, 80/68, 48/390?

Answer: LCM of Numerators as per given numbers 92/53, 57/13, 80/68, 48/390 is

LCM of Numerators i.e. for 92,57,80,48 is 104880

GCF of denominators i.e. for 53,13,68,390 is 1.

Thus, LCM of Fractions is 104880.Finally, LCM of Fractions for 92/53, 57/13, 80/68, 48/390 is 104880.