Least Common Multiple of 493/37, 270/4283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 493/37, 270/4283 quickly i.e. 133110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/37, 270/4283 is 133110.

LCM(493/37, 270/4283) = 133110

LCM of 493/37, 270/4283

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 493/37,270/4283

Given numbers are 493/37,270/4283

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 493,270

Least Common Multiple of Numerators i.e. LCM of 493,270 is 133110.

GCF of Denominators means GCF of 37,4283 as per the given fractions.

GCF of 37,4283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,270

LCM of Fractions 493/37,270/4283 is 133110

Given numbers has no common factors except 1. So, there LCM is their product i.e 133110

Least Common Multiple of 493,270 with GCF Formula

Least Common Multiple of 493,270 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 493,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,270) = 1

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

GCF(493,270) x common factors =1 x 1 = 1

LCM(493,270) = ( 493 × 270 ) / 1

LCM(493,270) = 133110 / 1

LCM(493,270) = 133110


Lets's calculate GCF of 37,4283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133110/1

Therefore the LCM of Fractions 493/37,270/4283 is 133110

Greatest Common Factor of 37,4283 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,4283 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 4283

List of positive integer factors of 4283 that divides 4283 without a remainder.

1,4283

Greatest Common Factor

We found the factors 37,4283 . The biggest common factor number is the GCF number.
So the greatest common factor 37,4283 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 493/37, 270/4283

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 493/37, 270/4283?

Answer: LCM of Numerators as per given numbers 493/37, 270/4283 is

LCM of Numerators i.e. for 493,270 is 133110

GCF of denominators i.e. for 37,4283 is 1.

Thus, LCM of Fractions is 133110.Finally, LCM of Fractions for 493/37, 270/4283 is 133110.