Least Common Multiple of 80/72, 62/364, 405/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/72, 62/364, 405/668 quickly i.e. 50220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/72, 62/364, 405/668 is 50220.

LCM(80/72, 62/364, 405/668) = 50220

LCM of 80/72, 62/364, 405/668

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 80/72,62/364,405/668

Given numbers are 80/72,62/364,405/668

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 80,62,405

Least Common Multiple of Numerators i.e. LCM of 80,62,405 is 200880.

GCF of Denominators means GCF of 72,364,668 as per the given fractions.

GCF of 72,364,668 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,62,405

LCM of Fractions 80/72,62/364,405/668 is 50220

2 80, 62, 405
5 40, 31, 405
8, 31, 81

∴ So the LCM of the given numbers is 2 x 5 x 8 x 31 x 81 = 200880

Least Common Multiple of 80,62,405 with GCF Formula

Least Common Multiple of 80,62,405 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 80,62,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,62,405) = 1

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

GCF(80,62,405) x common factors =1 x 10 = 10

LCM(80,62,405) = ( 80 × 62 × 405 ) / 10

LCM(80,62,405) = 2008800 / 10

LCM(80,62,405) = 200880


Lets's calculate GCF of 72,364,668

2 72, 364, 668
2 36, 182, 334
18, 91, 167

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200880/4

Therefore the LCM of Fractions 80/72,62/364,405/668 is 50220

Greatest Common Factor of 72,364,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,364,668 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 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 72,364,668 . The biggest common factor number is the GCF number.
So the greatest common factor 72,364,668 is 4.


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 80/72, 62/364, 405/668

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 80/72, 62/364, 405/668?

Answer: LCM of Numerators as per given numbers 80/72, 62/364, 405/668 is

LCM of Numerators i.e. for 80,62,405 is 200880

GCF of denominators i.e. for 72,364,668 is 4.

Thus, LCM of Fractions is 50220.Finally, LCM of Fractions for 80/72, 62/364, 405/668 is 50220.