Least Common Multiple of 53/46, 45/91, 13/41, 16/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 53/46, 45/91, 13/41, 16/927 quickly i.e. 496080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/46, 45/91, 13/41, 16/927 is 496080.

LCM(53/46, 45/91, 13/41, 16/927) = 496080

LCM of 53/46, 45/91, 13/41, 16/927

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 53/46,45/91,13/41,16/927

Given numbers are 53/46,45/91,13/41,16/927

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 53,45,13,16

Least Common Multiple of Numerators i.e. LCM of 53,45,13,16 is 496080.

GCF of Denominators means GCF of 46,91,41,927 as per the given fractions.

GCF of 46,91,41,927 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,45,13,16

LCM of Fractions 53/46,45/91,13/41,16/927 is 496080

Given numbers has no common factors except 1. So, there LCM is their product i.e 496080

Least Common Multiple of 53,45,13,16 with GCF Formula

Least Common Multiple of 53,45,13,16 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 53,45,13,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,45,13,16) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(53,45,13,16) x common factors =1 x 1 = 1

LCM(53,45,13,16) = ( 53 × 45 × 13 × 16 ) / 1

LCM(53,45,13,16) = 496080 / 1

LCM(53,45,13,16) = 496080


Lets's calculate GCF of 46,91,41,927

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496080/1

Therefore the LCM of Fractions 53/46,45/91,13/41,16/927 is 496080

Greatest Common Factor of 46,91,41,927 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,91,41,927 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 41

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

1,41

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Greatest Common Factor

We found the factors 46,91,41,927 . The biggest common factor number is the GCF number.
So the greatest common factor 46,91,41,927 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 53/46, 45/91, 13/41, 16/927

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 53/46, 45/91, 13/41, 16/927?

Answer: LCM of Numerators as per given numbers 53/46, 45/91, 13/41, 16/927 is

LCM of Numerators i.e. for 53,45,13,16 is 496080

GCF of denominators i.e. for 46,91,41,927 is 1.

Thus, LCM of Fractions is 496080.Finally, LCM of Fractions for 53/46, 45/91, 13/41, 16/927 is 496080.