Least Common Multiple of 62/480, 144/333, 894/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/480, 144/333, 894/492 quickly i.e. 221712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/480, 144/333, 894/492 is 221712.

LCM(62/480, 144/333, 894/492) = 221712

LCM of 62/480, 144/333, 894/492

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 62/480,144/333,894/492

Given numbers are 62/480,144/333,894/492

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 62,144,894

Least Common Multiple of Numerators i.e. LCM of 62,144,894 is 665136.

GCF of Denominators means GCF of 480,333,492 as per the given fractions.

GCF of 480,333,492 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,144,894

LCM of Fractions 62/480,144/333,894/492 is 221712

2 62, 144, 894
3 31, 72, 447
31, 24, 149

∴ So the LCM of the given numbers is 2 x 3 x 31 x 24 x 149 = 665136

Least Common Multiple of 62,144,894 with GCF Formula

Least Common Multiple of 62,144,894 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 62,144,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,144,894) = 2

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

GCF(62,144,894) x common factors =2 x 6 = 12

LCM(62,144,894) = ( 62 × 144 × 894 ) / 12

LCM(62,144,894) = 7981632 / 12

LCM(62,144,894) = 665136


Lets's calculate GCF of 480,333,492

3 480, 333, 492
160, 111, 164

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 665136/3

Therefore the LCM of Fractions 62/480,144/333,894/492 is 221712

Greatest Common Factor of 480,333,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,333,492 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 480,333,492 . The biggest common factor number is the GCF number.
So the greatest common factor 480,333,492 is 3.


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 62/480, 144/333, 894/492

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 62/480, 144/333, 894/492?

Answer: LCM of Numerators as per given numbers 62/480, 144/333, 894/492 is

LCM of Numerators i.e. for 62,144,894 is 665136

GCF of denominators i.e. for 480,333,492 is 3.

Thus, LCM of Fractions is 221712.Finally, LCM of Fractions for 62/480, 144/333, 894/492 is 221712.