Least Common Multiple of 491/668, 6990/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/668, 6990/835 quickly i.e. 3432090/167 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/668, 6990/835 is 3432090/167.

LCM(491/668, 6990/835) = 3432090/167

LCM of 491/668, 6990/835

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 491/668,6990/835

Given numbers are 491/668,6990/835

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 491,6990

Least Common Multiple of Numerators i.e. LCM of 491,6990 is 3432090.

GCF of Denominators means GCF of 668,835 as per the given fractions.

GCF of 668,835 is 167 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,6990

LCM of Fractions 491/668,6990/835 is 3432090/167

Given numbers has no common factors except 1. So, there LCM is their product i.e 3432090

Least Common Multiple of 491,6990 with GCF Formula

Least Common Multiple of 491,6990 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 491,6990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,6990) = 1

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

GCF(491,6990) x common factors =1 x 1 = 1

LCM(491,6990) = ( 491 × 6990 ) / 1

LCM(491,6990) = 3432090 / 1

LCM(491,6990) = 3432090


Lets's calculate GCF of 668,835

167 668, 835
4, 5

∴ So the GCF of the given numbers is 167 = 167

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3432090/167

Therefore the LCM of Fractions 491/668,6990/835 is 3432090/167

Greatest Common Factor of 668,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 668,835 By Matching Biggest Common Factor Method

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 668,835 . The biggest common factor number is the GCF number.
So the greatest common factor 668,835 is 167.


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 491/668, 6990/835

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 491/668, 6990/835?

Answer: LCM of Numerators as per given numbers 491/668, 6990/835 is

LCM of Numerators i.e. for 491,6990 is 3432090

GCF of denominators i.e. for 668,835 is 167.

Thus, LCM of Fractions is 3432090/167.Finally, LCM of Fractions for 491/668, 6990/835 is 3432090/167.