Least Common Multiple of 380/16, 737/5413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 380/16, 737/5413 quickly i.e. 280060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 380/16, 737/5413 is 280060.

LCM(380/16, 737/5413) = 280060

LCM of 380/16, 737/5413

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 380/16,737/5413

Given numbers are 380/16,737/5413

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 380,737

Least Common Multiple of Numerators i.e. LCM of 380,737 is 280060.

GCF of Denominators means GCF of 16,5413 as per the given fractions.

GCF of 16,5413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 380,737

LCM of Fractions 380/16,737/5413 is 280060

Given numbers has no common factors except 1. So, there LCM is their product i.e 280060

Least Common Multiple of 380,737 with GCF Formula

Least Common Multiple of 380,737 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 380,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,737) = 1

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

GCF(380,737) x common factors =1 x 1 = 1

LCM(380,737) = ( 380 × 737 ) / 1

LCM(380,737) = 280060 / 1

LCM(380,737) = 280060


Lets's calculate GCF of 16,5413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280060/1

Therefore the LCM of Fractions 380/16,737/5413 is 280060

Greatest Common Factor of 16,5413 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,5413 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 5413

List of positive integer factors of 5413 that divides 5413 without a remainder.

1,5413

Greatest Common Factor

We found the factors 16,5413 . The biggest common factor number is the GCF number.
So the greatest common factor 16,5413 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 380/16, 737/5413

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 380/16, 737/5413?

Answer: LCM of Numerators as per given numbers 380/16, 737/5413 is

LCM of Numerators i.e. for 380,737 is 280060

GCF of denominators i.e. for 16,5413 is 1.

Thus, LCM of Fractions is 280060.Finally, LCM of Fractions for 380/16, 737/5413 is 280060.