Least Common Multiple of 10/816, 22/105, 461/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/816, 22/105, 461/462 quickly i.e. 50710/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/816, 22/105, 461/462 is 50710/3.

LCM(10/816, 22/105, 461/462) = 50710/3

LCM of 10/816, 22/105, 461/462

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 10/816,22/105,461/462

Given numbers are 10/816,22/105,461/462

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 10,22,461

Least Common Multiple of Numerators i.e. LCM of 10,22,461 is 50710.

GCF of Denominators means GCF of 816,105,462 as per the given fractions.

GCF of 816,105,462 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,22,461

LCM of Fractions 10/816,22/105,461/462 is 50710/3

2 10, 22, 461
5, 11, 461

∴ So the LCM of the given numbers is 2 x 5 x 11 x 461 = 50710

Least Common Multiple of 10,22,461 with GCF Formula

Least Common Multiple of 10,22,461 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 10,22,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,22,461) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(10,22,461) x common factors =1 x 2 = 2

LCM(10,22,461) = ( 10 × 22 × 461 ) / 2

LCM(10,22,461) = 101420 / 2

LCM(10,22,461) = 50710


Lets's calculate GCF of 816,105,462

3 816, 105, 462
272, 35, 154

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50710/3

Therefore the LCM of Fractions 10/816,22/105,461/462 is 50710/3

Greatest Common Factor of 816,105,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,105,462 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

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 816,105,462 . The biggest common factor number is the GCF number.
So the greatest common factor 816,105,462 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 10/816, 22/105, 461/462

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 10/816, 22/105, 461/462?

Answer: LCM of Numerators as per given numbers 10/816, 22/105, 461/462 is

LCM of Numerators i.e. for 10,22,461 is 50710

GCF of denominators i.e. for 816,105,462 is 3.

Thus, LCM of Fractions is 50710/3.Finally, LCM of Fractions for 10/816, 22/105, 461/462 is 50710/3.