Least Common Multiple of 66/97, 490/13, 363/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/97, 490/13, 363/418 quickly i.e. 177870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/97, 490/13, 363/418 is 177870.

LCM(66/97, 490/13, 363/418) = 177870

LCM of 66/97, 490/13, 363/418

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 66/97,490/13,363/418

Given numbers are 66/97,490/13,363/418

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 66,490,363

Least Common Multiple of Numerators i.e. LCM of 66,490,363 is 177870.

GCF of Denominators means GCF of 97,13,418 as per the given fractions.

GCF of 97,13,418 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,490,363

LCM of Fractions 66/97,490/13,363/418 is 177870

2 66, 490, 363
3 33, 245, 363
11 11, 245, 121
1, 245, 11

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 245 x 11 = 177870

Least Common Multiple of 66,490,363 with GCF Formula

Least Common Multiple of 66,490,363 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 66,490,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,490,363) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(66,490,363) x common factors =1 x 66 = 66

LCM(66,490,363) = ( 66 × 490 × 363 ) / 66

LCM(66,490,363) = 11739420 / 66

LCM(66,490,363) = 177870


Lets's calculate GCF of 97,13,418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177870/1

Therefore the LCM of Fractions 66/97,490/13,363/418 is 177870

Greatest Common Factor of 97,13,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,13,418 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 97,13,418 . The biggest common factor number is the GCF number.
So the greatest common factor 97,13,418 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 66/97, 490/13, 363/418

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 66/97, 490/13, 363/418?

Answer: LCM of Numerators as per given numbers 66/97, 490/13, 363/418 is

LCM of Numerators i.e. for 66,490,363 is 177870

GCF of denominators i.e. for 97,13,418 is 1.

Thus, LCM of Fractions is 177870.Finally, LCM of Fractions for 66/97, 490/13, 363/418 is 177870.