Least Common Multiple of 493/86, 102/6887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/86, 102/6887 quickly i.e. 2958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/86, 102/6887 is 2958.

LCM(493/86, 102/6887) = 2958

LCM of 493/86, 102/6887

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 493/86,102/6887

Given numbers are 493/86,102/6887

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 493,102

Least Common Multiple of Numerators i.e. LCM of 493,102 is 2958.

GCF of Denominators means GCF of 86,6887 as per the given fractions.

GCF of 86,6887 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,102

LCM of Fractions 493/86,102/6887 is 2958

17 493, 102
29, 6

∴ So the LCM of the given numbers is 17 x 29 x 6 = 2958

Least Common Multiple of 493,102 with GCF Formula

Least Common Multiple of 493,102 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 493,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,102) = 17

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

GCF(493,102) x common factors =17 x 1 = 17

LCM(493,102) = ( 493 × 102 ) / 17

LCM(493,102) = 50286 / 17

LCM(493,102) = 2958


Lets's calculate GCF of 86,6887

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2958/1

Therefore the LCM of Fractions 493/86,102/6887 is 2958

Greatest Common Factor of 86,6887 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,6887 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 6887

List of positive integer factors of 6887 that divides 6887 without a remainder.

1,71,97,6887

Greatest Common Factor

We found the factors 86,6887 . The biggest common factor number is the GCF number.
So the greatest common factor 86,6887 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 493/86, 102/6887

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 493/86, 102/6887?

Answer: LCM of Numerators as per given numbers 493/86, 102/6887 is

LCM of Numerators i.e. for 493,102 is 2958

GCF of denominators i.e. for 86,6887 is 1.

Thus, LCM of Fractions is 2958.Finally, LCM of Fractions for 493/86, 102/6887 is 2958.