Least Common Multiple of 52/377, 73/340, 496/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/377, 73/340, 496/594 quickly i.e. 470704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/377, 73/340, 496/594 is 470704.

LCM(52/377, 73/340, 496/594) = 470704

LCM of 52/377, 73/340, 496/594

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 52/377,73/340,496/594

Given numbers are 52/377,73/340,496/594

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 52,73,496

Least Common Multiple of Numerators i.e. LCM of 52,73,496 is 470704.

GCF of Denominators means GCF of 377,340,594 as per the given fractions.

GCF of 377,340,594 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,73,496

LCM of Fractions 52/377,73/340,496/594 is 470704

2 52, 73, 496
2 26, 73, 248
13, 73, 124

∴ So the LCM of the given numbers is 2 x 2 x 13 x 73 x 124 = 470704

Least Common Multiple of 52,73,496 with GCF Formula

Least Common Multiple of 52,73,496 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 52,73,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,73,496) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(52,73,496) x common factors =1 x 4 = 4

LCM(52,73,496) = ( 52 × 73 × 496 ) / 4

LCM(52,73,496) = 1882816 / 4

LCM(52,73,496) = 470704


Lets's calculate GCF of 377,340,594

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 470704/1

Therefore the LCM of Fractions 52/377,73/340,496/594 is 470704

Greatest Common Factor of 377,340,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,340,594 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 377,340,594 . The biggest common factor number is the GCF number.
So the greatest common factor 377,340,594 is 1.


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 52/377, 73/340, 496/594

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 52/377, 73/340, 496/594?

Answer: LCM of Numerators as per given numbers 52/377, 73/340, 496/594 is

LCM of Numerators i.e. for 52,73,496 is 470704

GCF of denominators i.e. for 377,340,594 is 1.

Thus, LCM of Fractions is 470704.Finally, LCM of Fractions for 52/377, 73/340, 496/594 is 470704.