Least Common Multiple of 66/18, 486/64, 637/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/18, 486/64, 637/342 quickly i.e. 1702701 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/18, 486/64, 637/342 is 1702701.

LCM(66/18, 486/64, 637/342) = 1702701

LCM of 66/18, 486/64, 637/342

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 66/18,486/64,637/342

Given numbers are 66/18,486/64,637/342

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 66,486,637

Least Common Multiple of Numerators i.e. LCM of 66,486,637 is 3405402.

GCF of Denominators means GCF of 18,64,342 as per the given fractions.

GCF of 18,64,342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,486,637

LCM of Fractions 66/18,486/64,637/342 is 1702701

2 66, 486, 637
3 33, 243, 637
11, 81, 637

∴ So the LCM of the given numbers is 2 x 3 x 11 x 81 x 637 = 3405402

Least Common Multiple of 66,486,637 with GCF Formula

Least Common Multiple of 66,486,637 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 66,486,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,486,637) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,486,637) x common factors =1 x 6 = 6

LCM(66,486,637) = ( 66 × 486 × 637 ) / 6

LCM(66,486,637) = 20432412 / 6

LCM(66,486,637) = 3405402


Lets's calculate GCF of 18,64,342

2 18, 64, 342
9, 32, 171

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3405402/2

Therefore the LCM of Fractions 66/18,486/64,637/342 is 1702701

Greatest Common Factor of 18,64,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,64,342 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 18,64,342 . The biggest common factor number is the GCF number.
So the greatest common factor 18,64,342 is 2.


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 66/18, 486/64, 637/342

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 66/18, 486/64, 637/342?

Answer: LCM of Numerators as per given numbers 66/18, 486/64, 637/342 is

LCM of Numerators i.e. for 66,486,637 is 3405402

GCF of denominators i.e. for 18,64,342 is 2.

Thus, LCM of Fractions is 1702701.Finally, LCM of Fractions for 66/18, 486/64, 637/342 is 1702701.