Least Common Multiple of 38/60, 53/53, 416/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/60, 53/53, 416/548 quickly i.e. 418912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/60, 53/53, 416/548 is 418912.

LCM(38/60, 53/53, 416/548) = 418912

LCM of 38/60, 53/53, 416/548

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 38/60,53/53,416/548

Given numbers are 38/60,53/53,416/548

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 38,53,416

Least Common Multiple of Numerators i.e. LCM of 38,53,416 is 418912.

GCF of Denominators means GCF of 60,53,548 as per the given fractions.

GCF of 60,53,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,53,416

LCM of Fractions 38/60,53/53,416/548 is 418912

2 38, 53, 416
19, 53, 208

∴ So the LCM of the given numbers is 2 x 19 x 53 x 208 = 418912

Least Common Multiple of 38,53,416 with GCF Formula

Least Common Multiple of 38,53,416 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 38,53,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,53,416) = 1

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

GCF(38,53,416) x common factors =1 x 2 = 2

LCM(38,53,416) = ( 38 × 53 × 416 ) / 2

LCM(38,53,416) = 837824 / 2

LCM(38,53,416) = 418912


Lets's calculate GCF of 60,53,548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 418912/1

Therefore the LCM of Fractions 38/60,53/53,416/548 is 418912

Greatest Common Factor of 60,53,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,53,548 By Matching Biggest Common Factor Method

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 53

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

1,53

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 60,53,548 . The biggest common factor number is the GCF number.
So the greatest common factor 60,53,548 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 38/60, 53/53, 416/548

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 38/60, 53/53, 416/548?

Answer: LCM of Numerators as per given numbers 38/60, 53/53, 416/548 is

LCM of Numerators i.e. for 38,53,416 is 418912

GCF of denominators i.e. for 60,53,548 is 1.

Thus, LCM of Fractions is 418912.Finally, LCM of Fractions for 38/60, 53/53, 416/548 is 418912.