Least Common Multiple of 811/70, 418/96, 599/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 811/70, 418/96, 599/462 quickly i.e. 101529901 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 811/70, 418/96, 599/462 is 101529901.

LCM(811/70, 418/96, 599/462) = 101529901

LCM of 811/70, 418/96, 599/462

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 811/70,418/96,599/462

Given numbers are 811/70,418/96,599/462

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 811,418,599

Least Common Multiple of Numerators i.e. LCM of 811,418,599 is 203059802.

GCF of Denominators means GCF of 70,96,462 as per the given fractions.

GCF of 70,96,462 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 811,418,599

LCM of Fractions 811/70,418/96,599/462 is 101529901

Given numbers has no common factors except 1. So, there LCM is their product i.e 203059802

Least Common Multiple of 811,418,599 with GCF Formula

Least Common Multiple of 811,418,599 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 811,418,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(811,418,599) = 1

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

GCF(811,418,599) x common factors =1 x 1 = 1

LCM(811,418,599) = ( 811 × 418 × 599 ) / 1

LCM(811,418,599) = 203059802 / 1

LCM(811,418,599) = 203059802


Lets's calculate GCF of 70,96,462

2 70, 96, 462
35, 48, 231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203059802/2

Therefore the LCM of Fractions 811/70,418/96,599/462 is 101529901

Greatest Common Factor of 70,96,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,96,462 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

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

Greatest Common Factor

We found the factors 70,96,462 . The biggest common factor number is the GCF number.
So the greatest common factor 70,96,462 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 811/70, 418/96, 599/462

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 811/70, 418/96, 599/462?

Answer: LCM of Numerators as per given numbers 811/70, 418/96, 599/462 is

LCM of Numerators i.e. for 811,418,599 is 203059802

GCF of denominators i.e. for 70,96,462 is 2.

Thus, LCM of Fractions is 101529901.Finally, LCM of Fractions for 811/70, 418/96, 599/462 is 101529901.