Least Common Multiple of 66/320, 176/865, 476/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/320, 176/865, 476/336 quickly i.e. 62832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/320, 176/865, 476/336 is 62832.

LCM(66/320, 176/865, 476/336) = 62832

LCM of 66/320, 176/865, 476/336

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 66/320,176/865,476/336

Given numbers are 66/320,176/865,476/336

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 66,176,476

Least Common Multiple of Numerators i.e. LCM of 66,176,476 is 62832.

GCF of Denominators means GCF of 320,865,336 as per the given fractions.

GCF of 320,865,336 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,176,476

LCM of Fractions 66/320,176/865,476/336 is 62832

2 66, 176, 476
2 33, 88, 238
11 33, 44, 119
3, 4, 119

∴ So the LCM of the given numbers is 2 x 2 x 11 x 3 x 4 x 119 = 62832

Least Common Multiple of 66,176,476 with GCF Formula

Least Common Multiple of 66,176,476 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 66,176,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,176,476) = 2

common factors(in case of two or more numbers have common factors) = 44

GCF(66,176,476) x common factors =2 x 44 = 88

LCM(66,176,476) = ( 66 × 176 × 476 ) / 88

LCM(66,176,476) = 5529216 / 88

LCM(66,176,476) = 62832


Lets's calculate GCF of 320,865,336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62832/1

Therefore the LCM of Fractions 66/320,176/865,476/336 is 62832

Greatest Common Factor of 320,865,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,865,336 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

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

Greatest Common Factor

We found the factors 320,865,336 . The biggest common factor number is the GCF number.
So the greatest common factor 320,865,336 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 66/320, 176/865, 476/336

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 66/320, 176/865, 476/336?

Answer: LCM of Numerators as per given numbers 66/320, 176/865, 476/336 is

LCM of Numerators i.e. for 66,176,476 is 62832

GCF of denominators i.e. for 320,865,336 is 1.

Thus, LCM of Fractions is 62832.Finally, LCM of Fractions for 66/320, 176/865, 476/336 is 62832.