Least Common Multiple of 59/402, 72/494, 811/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/402, 72/494, 811/120 quickly i.e. 1722564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/402, 72/494, 811/120 is 1722564.

LCM(59/402, 72/494, 811/120) = 1722564

LCM of 59/402, 72/494, 811/120

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 59/402,72/494,811/120

Given numbers are 59/402,72/494,811/120

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 59,72,811

Least Common Multiple of Numerators i.e. LCM of 59,72,811 is 3445128.

GCF of Denominators means GCF of 402,494,120 as per the given fractions.

GCF of 402,494,120 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,72,811

LCM of Fractions 59/402,72/494,811/120 is 1722564

Given numbers has no common factors except 1. So, there LCM is their product i.e 3445128

Least Common Multiple of 59,72,811 with GCF Formula

Least Common Multiple of 59,72,811 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 59,72,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,72,811) = 1

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

GCF(59,72,811) x common factors =1 x 1 = 1

LCM(59,72,811) = ( 59 × 72 × 811 ) / 1

LCM(59,72,811) = 3445128 / 1

LCM(59,72,811) = 3445128


Lets's calculate GCF of 402,494,120

2 402, 494, 120
201, 247, 60

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3445128/2

Therefore the LCM of Fractions 59/402,72/494,811/120 is 1722564

Greatest Common Factor of 402,494,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,494,120 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 402,494,120 . The biggest common factor number is the GCF number.
So the greatest common factor 402,494,120 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 59/402, 72/494, 811/120

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 59/402, 72/494, 811/120?

Answer: LCM of Numerators as per given numbers 59/402, 72/494, 811/120 is

LCM of Numerators i.e. for 59,72,811 is 3445128

GCF of denominators i.e. for 402,494,120 is 2.

Thus, LCM of Fractions is 1722564.Finally, LCM of Fractions for 59/402, 72/494, 811/120 is 1722564.