Least Common Multiple of 469/46, 1425/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/46, 1425/423 quickly i.e. 668325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/46, 1425/423 is 668325.

LCM(469/46, 1425/423) = 668325

LCM of 469/46, 1425/423

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 469/46,1425/423

Given numbers are 469/46,1425/423

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 469,1425

Least Common Multiple of Numerators i.e. LCM of 469,1425 is 668325.

GCF of Denominators means GCF of 46,423 as per the given fractions.

GCF of 46,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,1425

LCM of Fractions 469/46,1425/423 is 668325

Given numbers has no common factors except 1. So, there LCM is their product i.e 668325

Least Common Multiple of 469,1425 with GCF Formula

Least Common Multiple of 469,1425 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 469,1425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,1425) = 1

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

GCF(469,1425) x common factors =1 x 1 = 1

LCM(469,1425) = ( 469 × 1425 ) / 1

LCM(469,1425) = 668325 / 1

LCM(469,1425) = 668325


Lets's calculate GCF of 46,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 668325/1

Therefore the LCM of Fractions 469/46,1425/423 is 668325

Greatest Common Factor of 46,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,423 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 46,423 . The biggest common factor number is the GCF number.
So the greatest common factor 46,423 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 469/46, 1425/423

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 469/46, 1425/423?

Answer: LCM of Numerators as per given numbers 469/46, 1425/423 is

LCM of Numerators i.e. for 469,1425 is 668325

GCF of denominators i.e. for 46,423 is 1.

Thus, LCM of Fractions is 668325.Finally, LCM of Fractions for 469/46, 1425/423 is 668325.