Least Common Multiple of 212/40, 315/90, 430/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 212/40, 315/90, 430/72 quickly i.e. 1435770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/40, 315/90, 430/72 is 1435770.

LCM(212/40, 315/90, 430/72) = 1435770

LCM of 212/40, 315/90, 430/72

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 212/40,315/90,430/72

Given numbers are 212/40,315/90,430/72

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 212,315,430

Least Common Multiple of Numerators i.e. LCM of 212,315,430 is 2871540.

GCF of Denominators means GCF of 40,90,72 as per the given fractions.

GCF of 40,90,72 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,315,430

LCM of Fractions 212/40,315/90,430/72 is 1435770

2 212, 315, 430
5 106, 315, 215
106, 63, 43

∴ So the LCM of the given numbers is 2 x 5 x 106 x 63 x 43 = 2871540

Least Common Multiple of 212,315,430 with GCF Formula

Least Common Multiple of 212,315,430 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 212,315,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,315,430) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(212,315,430) x common factors =1 x 10 = 10

LCM(212,315,430) = ( 212 × 315 × 430 ) / 10

LCM(212,315,430) = 28715400 / 10

LCM(212,315,430) = 2871540


Lets's calculate GCF of 40,90,72

2 40, 90, 72
20, 45, 36

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2871540/2

Therefore the LCM of Fractions 212/40,315/90,430/72 is 1435770

Greatest Common Factor of 40,90,72 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,90,72 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

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

Greatest Common Factor

We found the factors 40,90,72 . The biggest common factor number is the GCF number.
So the greatest common factor 40,90,72 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 212/40, 315/90, 430/72

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 212/40, 315/90, 430/72?

Answer: LCM of Numerators as per given numbers 212/40, 315/90, 430/72 is

LCM of Numerators i.e. for 212,315,430 is 2871540

GCF of denominators i.e. for 40,90,72 is 2.

Thus, LCM of Fractions is 1435770.Finally, LCM of Fractions for 212/40, 315/90, 430/72 is 1435770.