Least Common Multiple of 469/14, 315/2022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/14, 315/2022 quickly i.e. 21105/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/14, 315/2022 is 21105/2.

LCM(469/14, 315/2022) = 21105/2

LCM of 469/14, 315/2022

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 469/14,315/2022

Given numbers are 469/14,315/2022

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 469,315

Least Common Multiple of Numerators i.e. LCM of 469,315 is 21105.

GCF of Denominators means GCF of 14,2022 as per the given fractions.

GCF of 14,2022 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,315

LCM of Fractions 469/14,315/2022 is 21105/2

7 469, 315
67, 45

∴ So the LCM of the given numbers is 7 x 67 x 45 = 21105

Least Common Multiple of 469,315 with GCF Formula

Least Common Multiple of 469,315 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 469,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,315) = 7

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

GCF(469,315) x common factors =7 x 1 = 7

LCM(469,315) = ( 469 × 315 ) / 7

LCM(469,315) = 147735 / 7

LCM(469,315) = 21105


Lets's calculate GCF of 14,2022

2 14, 2022
7, 1011

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21105/2

Therefore the LCM of Fractions 469/14,315/2022 is 21105/2

Greatest Common Factor of 14,2022 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,2022 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 2022

List of positive integer factors of 2022 that divides 2022 without a remainder.

1,2,3,6,337,674,1011,2022

Greatest Common Factor

We found the factors 14,2022 . The biggest common factor number is the GCF number.
So the greatest common factor 14,2022 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 469/14, 315/2022

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 469/14, 315/2022?

Answer: LCM of Numerators as per given numbers 469/14, 315/2022 is

LCM of Numerators i.e. for 469,315 is 21105

GCF of denominators i.e. for 14,2022 is 2.

Thus, LCM of Fractions is 21105/2.Finally, LCM of Fractions for 469/14, 315/2022 is 21105/2.