Least Common Multiple of 490/87, 331/6993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/87, 331/6993 quickly i.e. 162190/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/87, 331/6993 is 162190/3.

LCM(490/87, 331/6993) = 162190/3

LCM of 490/87, 331/6993

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 490/87,331/6993

Given numbers are 490/87,331/6993

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 490,331

Least Common Multiple of Numerators i.e. LCM of 490,331 is 162190.

GCF of Denominators means GCF of 87,6993 as per the given fractions.

GCF of 87,6993 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,331

LCM of Fractions 490/87,331/6993 is 162190/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 162190

Least Common Multiple of 490,331 with GCF Formula

Least Common Multiple of 490,331 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 490,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,331) = 1

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

GCF(490,331) x common factors =1 x 1 = 1

LCM(490,331) = ( 490 × 331 ) / 1

LCM(490,331) = 162190 / 1

LCM(490,331) = 162190


Lets's calculate GCF of 87,6993

3 87, 6993
29, 2331

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162190/3

Therefore the LCM of Fractions 490/87,331/6993 is 162190/3

Greatest Common Factor of 87,6993 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,6993 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 6993

List of positive integer factors of 6993 that divides 6993 without a remainder.

1,3,7,9,21,27,37,63,111,189,259,333,777,999,2331,6993

Greatest Common Factor

We found the factors 87,6993 . The biggest common factor number is the GCF number.
So the greatest common factor 87,6993 is 3.


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 490/87, 331/6993

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 490/87, 331/6993?

Answer: LCM of Numerators as per given numbers 490/87, 331/6993 is

LCM of Numerators i.e. for 490,331 is 162190

GCF of denominators i.e. for 87,6993 is 3.

Thus, LCM of Fractions is 162190/3.Finally, LCM of Fractions for 490/87, 331/6993 is 162190/3.