Least Common Multiple of 82/40, 324/30, 600/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/40, 324/30, 600/964 quickly i.e. 332100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/40, 324/30, 600/964 is 332100.

LCM(82/40, 324/30, 600/964) = 332100

LCM of 82/40, 324/30, 600/964

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 82/40,324/30,600/964

Given numbers are 82/40,324/30,600/964

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 82,324,600

Least Common Multiple of Numerators i.e. LCM of 82,324,600 is 664200.

GCF of Denominators means GCF of 40,30,964 as per the given fractions.

GCF of 40,30,964 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,324,600

LCM of Fractions 82/40,324/30,600/964 is 332100

2 82, 324, 600
2 41, 162, 300
3 41, 81, 150
41, 27, 50

∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 27 x 50 = 664200

Least Common Multiple of 82,324,600 with GCF Formula

Least Common Multiple of 82,324,600 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 82,324,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,324,600) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(82,324,600) x common factors =2 x 12 = 24

LCM(82,324,600) = ( 82 × 324 × 600 ) / 24

LCM(82,324,600) = 15940800 / 24

LCM(82,324,600) = 664200


Lets's calculate GCF of 40,30,964

2 40, 30, 964
20, 15, 482

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 664200/2

Therefore the LCM of Fractions 82/40,324/30,600/964 is 332100

Greatest Common Factor of 40,30,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,30,964 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 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 40,30,964 . The biggest common factor number is the GCF number.
So the greatest common factor 40,30,964 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 82/40, 324/30, 600/964

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 82/40, 324/30, 600/964?

Answer: LCM of Numerators as per given numbers 82/40, 324/30, 600/964 is

LCM of Numerators i.e. for 82,324,600 is 664200

GCF of denominators i.e. for 40,30,964 is 2.

Thus, LCM of Fractions is 332100.Finally, LCM of Fractions for 82/40, 324/30, 600/964 is 332100.