Least Common Multiple of 66/491, 808/702, 224/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/491, 808/702, 224/832 quickly i.e. 746592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/491, 808/702, 224/832 is 746592.

LCM(66/491, 808/702, 224/832) = 746592

LCM of 66/491, 808/702, 224/832

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 66/491,808/702,224/832

Given numbers are 66/491,808/702,224/832

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 66,808,224

Least Common Multiple of Numerators i.e. LCM of 66,808,224 is 746592.

GCF of Denominators means GCF of 491,702,832 as per the given fractions.

GCF of 491,702,832 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,808,224

LCM of Fractions 66/491,808/702,224/832 is 746592

2 66, 808, 224
2 33, 404, 112
2 33, 202, 56
33, 101, 28

∴ So the LCM of the given numbers is 2 x 2 x 2 x 33 x 101 x 28 = 746592

Least Common Multiple of 66,808,224 with GCF Formula

Least Common Multiple of 66,808,224 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 66,808,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,808,224) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(66,808,224) x common factors =2 x 8 = 16

LCM(66,808,224) = ( 66 × 808 × 224 ) / 16

LCM(66,808,224) = 11945472 / 16

LCM(66,808,224) = 746592


Lets's calculate GCF of 491,702,832

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 746592/1

Therefore the LCM of Fractions 66/491,808/702,224/832 is 746592

Greatest Common Factor of 491,702,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,702,832 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 491,702,832 . The biggest common factor number is the GCF number.
So the greatest common factor 491,702,832 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 66/491, 808/702, 224/832

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 66/491, 808/702, 224/832?

Answer: LCM of Numerators as per given numbers 66/491, 808/702, 224/832 is

LCM of Numerators i.e. for 66,808,224 is 746592

GCF of denominators i.e. for 491,702,832 is 1.

Thus, LCM of Fractions is 746592.Finally, LCM of Fractions for 66/491, 808/702, 224/832 is 746592.