Least Common Multiple of 1422/110, 2116/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1422/110, 2116/462 quickly i.e. 1504476/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1422/110, 2116/462 is 1504476/22.

LCM(1422/110, 2116/462) = 1504476/22

LCM of 1422/110, 2116/462

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 1422/110,2116/462

Given numbers are 1422/110,2116/462

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 1422,2116

Least Common Multiple of Numerators i.e. LCM of 1422,2116 is 1504476.

GCF of Denominators means GCF of 110,462 as per the given fractions.

GCF of 110,462 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1422,2116

LCM of Fractions 1422/110,2116/462 is 1504476/22

2 1422, 2116
711, 1058

∴ So the LCM of the given numbers is 2 x 711 x 1058 = 1504476

Least Common Multiple of 1422,2116 with GCF Formula

Least Common Multiple of 1422,2116 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 1422,2116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1422,2116) = 2

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

GCF(1422,2116) x common factors =2 x 1 = 2

LCM(1422,2116) = ( 1422 × 2116 ) / 2

LCM(1422,2116) = 3008952 / 2

LCM(1422,2116) = 1504476


Lets's calculate GCF of 110,462

2 110, 462
11 55, 231
5, 21

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1504476/22

Therefore the LCM of Fractions 1422/110,2116/462 is 1504476/22

Greatest Common Factor of 110,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,462 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

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 110,462 . The biggest common factor number is the GCF number.
So the greatest common factor 110,462 is 22.


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 1422/110, 2116/462

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 1422/110, 2116/462?

Answer: LCM of Numerators as per given numbers 1422/110, 2116/462 is

LCM of Numerators i.e. for 1422,2116 is 1504476

GCF of denominators i.e. for 110,462 is 22.

Thus, LCM of Fractions is 1504476/22.Finally, LCM of Fractions for 1422/110, 2116/462 is 1504476/22.