Least Common Multiple of 8/462, 57/812, 84/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/462, 57/812, 84/407 quickly i.e. 3192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/462, 57/812, 84/407 is 3192.

LCM(8/462, 57/812, 84/407) = 3192

LCM of 8/462, 57/812, 84/407

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 8/462,57/812,84/407

Given numbers are 8/462,57/812,84/407

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 8,57,84

Least Common Multiple of Numerators i.e. LCM of 8,57,84 is 3192.

GCF of Denominators means GCF of 462,812,407 as per the given fractions.

GCF of 462,812,407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,57,84

LCM of Fractions 8/462,57/812,84/407 is 3192

2 8, 57, 84
2 4, 57, 42
3 2, 57, 21
2, 19, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 19 x 7 = 3192

Least Common Multiple of 8,57,84 with GCF Formula

Least Common Multiple of 8,57,84 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 8,57,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,57,84) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(8,57,84) x common factors =1 x 12 = 12

LCM(8,57,84) = ( 8 × 57 × 84 ) / 12

LCM(8,57,84) = 38304 / 12

LCM(8,57,84) = 3192


Lets's calculate GCF of 462,812,407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3192/1

Therefore the LCM of Fractions 8/462,57/812,84/407 is 3192

Greatest Common Factor of 462,812,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,812,407 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 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 462,812,407 . The biggest common factor number is the GCF number.
So the greatest common factor 462,812,407 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 8/462, 57/812, 84/407

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 8/462, 57/812, 84/407?

Answer: LCM of Numerators as per given numbers 8/462, 57/812, 84/407 is

LCM of Numerators i.e. for 8,57,84 is 3192

GCF of denominators i.e. for 462,812,407 is 1.

Thus, LCM of Fractions is 3192.Finally, LCM of Fractions for 8/462, 57/812, 84/407 is 3192.