Least Common Multiple of 297/83, 490/40, 706/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 297/83, 490/40, 706/991 quickly i.e. 51372090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/83, 490/40, 706/991 is 51372090.

LCM(297/83, 490/40, 706/991) = 51372090

LCM of 297/83, 490/40, 706/991

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 297/83,490/40,706/991

Given numbers are 297/83,490/40,706/991

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 297,490,706

Least Common Multiple of Numerators i.e. LCM of 297,490,706 is 51372090.

GCF of Denominators means GCF of 83,40,991 as per the given fractions.

GCF of 83,40,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,490,706

LCM of Fractions 297/83,490/40,706/991 is 51372090

2 297, 490, 706
297, 245, 353

∴ So the LCM of the given numbers is 2 x 297 x 245 x 353 = 51372090

Least Common Multiple of 297,490,706 with GCF Formula

Least Common Multiple of 297,490,706 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 297,490,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,490,706) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(297,490,706) x common factors =1 x 2 = 2

LCM(297,490,706) = ( 297 × 490 × 706 ) / 2

LCM(297,490,706) = 102744180 / 2

LCM(297,490,706) = 51372090


Lets's calculate GCF of 83,40,991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51372090/1

Therefore the LCM of Fractions 297/83,490/40,706/991 is 51372090

Greatest Common Factor of 83,40,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,40,991 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 83,40,991 . The biggest common factor number is the GCF number.
So the greatest common factor 83,40,991 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 297/83, 490/40, 706/991

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 297/83, 490/40, 706/991?

Answer: LCM of Numerators as per given numbers 297/83, 490/40, 706/991 is

LCM of Numerators i.e. for 297,490,706 is 51372090

GCF of denominators i.e. for 83,40,991 is 1.

Thus, LCM of Fractions is 51372090.Finally, LCM of Fractions for 297/83, 490/40, 706/991 is 51372090.