Least Common Multiple of 66/484, 17/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/484, 17/672 quickly i.e. 1122/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/484, 17/672 is 1122/4.

LCM(66/484, 17/672) = 1122/4

LCM of 66/484, 17/672

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 66/484,17/672

Given numbers are 66/484,17/672

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 66,17

Least Common Multiple of Numerators i.e. LCM of 66,17 is 1122.

GCF of Denominators means GCF of 484,672 as per the given fractions.

GCF of 484,672 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,17

LCM of Fractions 66/484,17/672 is 1122/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 1122

Least Common Multiple of 66,17 with GCF Formula

Least Common Multiple of 66,17 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 66,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,17) = 1

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

GCF(66,17) x common factors =1 x 1 = 1

LCM(66,17) = ( 66 × 17 ) / 1

LCM(66,17) = 1122 / 1

LCM(66,17) = 1122


Lets's calculate GCF of 484,672

2 484, 672
2 242, 336
121, 168

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1122/4

Therefore the LCM of Fractions 66/484,17/672 is 1122/4

Greatest Common Factor of 484,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,672 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 484,672 . The biggest common factor number is the GCF number.
So the greatest common factor 484,672 is 4.


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 66/484, 17/672

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 66/484, 17/672?

Answer: LCM of Numerators as per given numbers 66/484, 17/672 is

LCM of Numerators i.e. for 66,17 is 1122

GCF of denominators i.e. for 484,672 is 4.

Thus, LCM of Fractions is 1122/4.Finally, LCM of Fractions for 66/484, 17/672 is 1122/4.