Least Common Multiple of 59/741, 820/369, 436/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/741, 820/369, 436/574 quickly i.e. 5273420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/741, 820/369, 436/574 is 5273420.

LCM(59/741, 820/369, 436/574) = 5273420

LCM of 59/741, 820/369, 436/574

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 59/741,820/369,436/574

Given numbers are 59/741,820/369,436/574

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 59,820,436

Least Common Multiple of Numerators i.e. LCM of 59,820,436 is 5273420.

GCF of Denominators means GCF of 741,369,574 as per the given fractions.

GCF of 741,369,574 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,820,436

LCM of Fractions 59/741,820/369,436/574 is 5273420

2 59, 820, 436
2 59, 410, 218
59, 205, 109

∴ So the LCM of the given numbers is 2 x 2 x 59 x 205 x 109 = 5273420

Least Common Multiple of 59,820,436 with GCF Formula

Least Common Multiple of 59,820,436 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 59,820,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,820,436) = 1

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

GCF(59,820,436) x common factors =1 x 4 = 4

LCM(59,820,436) = ( 59 × 820 × 436 ) / 4

LCM(59,820,436) = 21093680 / 4

LCM(59,820,436) = 5273420


Lets's calculate GCF of 741,369,574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5273420/1

Therefore the LCM of Fractions 59/741,820/369,436/574 is 5273420

Greatest Common Factor of 741,369,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,369,574 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 741,369,574 . The biggest common factor number is the GCF number.
So the greatest common factor 741,369,574 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 59/741, 820/369, 436/574

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 59/741, 820/369, 436/574?

Answer: LCM of Numerators as per given numbers 59/741, 820/369, 436/574 is

LCM of Numerators i.e. for 59,820,436 is 5273420

GCF of denominators i.e. for 741,369,574 is 1.

Thus, LCM of Fractions is 5273420.Finally, LCM of Fractions for 59/741, 820/369, 436/574 is 5273420.