Least Common Multiple of 462/72, 908/2430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/72, 908/2430 quickly i.e. 209748/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/72, 908/2430 is 209748/18.

LCM(462/72, 908/2430) = 209748/18

LCM of 462/72, 908/2430

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 462/72,908/2430

Given numbers are 462/72,908/2430

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 462,908

Least Common Multiple of Numerators i.e. LCM of 462,908 is 209748.

GCF of Denominators means GCF of 72,2430 as per the given fractions.

GCF of 72,2430 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,908

LCM of Fractions 462/72,908/2430 is 209748/18

2 462, 908
231, 454

∴ So the LCM of the given numbers is 2 x 231 x 454 = 209748

Least Common Multiple of 462,908 with GCF Formula

Least Common Multiple of 462,908 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 462,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,908) = 2

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

GCF(462,908) x common factors =2 x 1 = 2

LCM(462,908) = ( 462 × 908 ) / 2

LCM(462,908) = 419496 / 2

LCM(462,908) = 209748


Lets's calculate GCF of 72,2430

2 72, 2430
3 36, 1215
3 12, 405
4, 135

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209748/18

Therefore the LCM of Fractions 462/72,908/2430 is 209748/18

Greatest Common Factor of 72,2430 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,2430 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 2430

List of positive integer factors of 2430 that divides 2430 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,810,1215,2430

Greatest Common Factor

We found the factors 72,2430 . The biggest common factor number is the GCF number.
So the greatest common factor 72,2430 is 18.


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 462/72, 908/2430

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 462/72, 908/2430?

Answer: LCM of Numerators as per given numbers 462/72, 908/2430 is

LCM of Numerators i.e. for 462,908 is 209748

GCF of denominators i.e. for 72,2430 is 18.

Thus, LCM of Fractions is 209748/18.Finally, LCM of Fractions for 462/72, 908/2430 is 209748/18.