Least Common Multiple of 993/462, 104/896, 702/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 993/462, 104/896, 702/380 quickly i.e. 464724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 993/462, 104/896, 702/380 is 464724.

LCM(993/462, 104/896, 702/380) = 464724

LCM of 993/462, 104/896, 702/380

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 993/462,104/896,702/380

Given numbers are 993/462,104/896,702/380

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 993,104,702

Least Common Multiple of Numerators i.e. LCM of 993,104,702 is 929448.

GCF of Denominators means GCF of 462,896,380 as per the given fractions.

GCF of 462,896,380 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 993,104,702

LCM of Fractions 993/462,104/896,702/380 is 464724

2 993, 104, 702
3 993, 52, 351
13 331, 52, 117
331, 4, 9

∴ So the LCM of the given numbers is 2 x 3 x 13 x 331 x 4 x 9 = 929448

Least Common Multiple of 993,104,702 with GCF Formula

Least Common Multiple of 993,104,702 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 993,104,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,104,702) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(993,104,702) x common factors =1 x 78 = 78

LCM(993,104,702) = ( 993 × 104 × 702 ) / 78

LCM(993,104,702) = 72496944 / 78

LCM(993,104,702) = 929448


Lets's calculate GCF of 462,896,380

2 462, 896, 380
231, 448, 190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 929448/2

Therefore the LCM of Fractions 993/462,104/896,702/380 is 464724

Greatest Common Factor of 462,896,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,896,380 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 462,896,380 . The biggest common factor number is the GCF number.
So the greatest common factor 462,896,380 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 993/462, 104/896, 702/380

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 993/462, 104/896, 702/380?

Answer: LCM of Numerators as per given numbers 993/462, 104/896, 702/380 is

LCM of Numerators i.e. for 993,104,702 is 929448

GCF of denominators i.e. for 462,896,380 is 2.

Thus, LCM of Fractions is 464724.Finally, LCM of Fractions for 993/462, 104/896, 702/380 is 464724.