Least Common Multiple of 87/493, 1672/6233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/493, 1672/6233 quickly i.e. 145464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/493, 1672/6233 is 145464.

LCM(87/493, 1672/6233) = 145464

LCM of 87/493, 1672/6233

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 87/493,1672/6233

Given numbers are 87/493,1672/6233

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 87,1672

Least Common Multiple of Numerators i.e. LCM of 87,1672 is 145464.

GCF of Denominators means GCF of 493,6233 as per the given fractions.

GCF of 493,6233 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,1672

LCM of Fractions 87/493,1672/6233 is 145464

Given numbers has no common factors except 1. So, there LCM is their product i.e 145464

Least Common Multiple of 87,1672 with GCF Formula

Least Common Multiple of 87,1672 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 87,1672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,1672) = 1

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

GCF(87,1672) x common factors =1 x 1 = 1

LCM(87,1672) = ( 87 × 1672 ) / 1

LCM(87,1672) = 145464 / 1

LCM(87,1672) = 145464


Lets's calculate GCF of 493,6233

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145464/1

Therefore the LCM of Fractions 87/493,1672/6233 is 145464

Greatest Common Factor of 493,6233 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,6233 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 6233

List of positive integer factors of 6233 that divides 6233 without a remainder.

1,23,271,6233

Greatest Common Factor

We found the factors 493,6233 . The biggest common factor number is the GCF number.
So the greatest common factor 493,6233 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 87/493, 1672/6233

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 87/493, 1672/6233?

Answer: LCM of Numerators as per given numbers 87/493, 1672/6233 is

LCM of Numerators i.e. for 87,1672 is 145464

GCF of denominators i.e. for 493,6233 is 1.

Thus, LCM of Fractions is 145464.Finally, LCM of Fractions for 87/493, 1672/6233 is 145464.