Least Common Multiple of 597/423, 6429/9105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 597/423, 6429/9105 quickly i.e. 426457 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 597/423, 6429/9105 is 426457.

LCM(597/423, 6429/9105) = 426457

LCM of 597/423, 6429/9105

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 597/423,6429/9105

Given numbers are 597/423,6429/9105

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 597,6429

Least Common Multiple of Numerators i.e. LCM of 597,6429 is 1279371.

GCF of Denominators means GCF of 423,9105 as per the given fractions.

GCF of 423,9105 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 597,6429

LCM of Fractions 597/423,6429/9105 is 426457

3 597, 6429
199, 2143

∴ So the LCM of the given numbers is 3 x 199 x 2143 = 1279371

Least Common Multiple of 597,6429 with GCF Formula

Least Common Multiple of 597,6429 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 597,6429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(597,6429) = 3

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

GCF(597,6429) x common factors =3 x 1 = 3

LCM(597,6429) = ( 597 × 6429 ) / 3

LCM(597,6429) = 3838113 / 3

LCM(597,6429) = 1279371


Lets's calculate GCF of 423,9105

3 423, 9105
141, 3035

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1279371/3

Therefore the LCM of Fractions 597/423,6429/9105 is 426457

Greatest Common Factor of 423,9105 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,9105 By Matching Biggest Common Factor Method

Factors of 423

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

1,3,9,47,141,423

Factors of 9105

List of positive integer factors of 9105 that divides 9105 without a remainder.

1,3,5,15,607,1821,3035,9105

Greatest Common Factor

We found the factors 423,9105 . The biggest common factor number is the GCF number.
So the greatest common factor 423,9105 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 597/423, 6429/9105

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 597/423, 6429/9105?

Answer: LCM of Numerators as per given numbers 597/423, 6429/9105 is

LCM of Numerators i.e. for 597,6429 is 1279371

GCF of denominators i.e. for 423,9105 is 3.

Thus, LCM of Fractions is 426457.Finally, LCM of Fractions for 597/423, 6429/9105 is 426457.