Least Common Multiple of 453/23, 210/65, 624/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 453/23, 210/65, 624/429 quickly i.e. 3297840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 453/23, 210/65, 624/429 is 3297840.

LCM(453/23, 210/65, 624/429) = 3297840

LCM of 453/23, 210/65, 624/429

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 453/23,210/65,624/429

Given numbers are 453/23,210/65,624/429

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 453,210,624

Least Common Multiple of Numerators i.e. LCM of 453,210,624 is 3297840.

GCF of Denominators means GCF of 23,65,429 as per the given fractions.

GCF of 23,65,429 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 453,210,624

LCM of Fractions 453/23,210/65,624/429 is 3297840

2 453, 210, 624
3 453, 105, 312
151, 35, 104

∴ So the LCM of the given numbers is 2 x 3 x 151 x 35 x 104 = 3297840

Least Common Multiple of 453,210,624 with GCF Formula

Least Common Multiple of 453,210,624 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 453,210,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(453,210,624) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(453,210,624) x common factors =3 x 6 = 18

LCM(453,210,624) = ( 453 × 210 × 624 ) / 18

LCM(453,210,624) = 59361120 / 18

LCM(453,210,624) = 3297840


Lets's calculate GCF of 23,65,429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3297840/1

Therefore the LCM of Fractions 453/23,210/65,624/429 is 3297840

Greatest Common Factor of 23,65,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,65,429 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 23,65,429 . The biggest common factor number is the GCF number.
So the greatest common factor 23,65,429 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 453/23, 210/65, 624/429

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 453/23, 210/65, 624/429?

Answer: LCM of Numerators as per given numbers 453/23, 210/65, 624/429 is

LCM of Numerators i.e. for 453,210,624 is 3297840

GCF of denominators i.e. for 23,65,429 is 1.

Thus, LCM of Fractions is 3297840.Finally, LCM of Fractions for 453/23, 210/65, 624/429 is 3297840.