Least Common Multiple of 53/71, 462/65, 774/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/71, 462/65, 774/369 quickly i.e. 3158694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/71, 462/65, 774/369 is 3158694.

LCM(53/71, 462/65, 774/369) = 3158694

LCM of 53/71, 462/65, 774/369

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 53/71,462/65,774/369

Given numbers are 53/71,462/65,774/369

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 53,462,774

Least Common Multiple of Numerators i.e. LCM of 53,462,774 is 3158694.

GCF of Denominators means GCF of 71,65,369 as per the given fractions.

GCF of 71,65,369 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,462,774

LCM of Fractions 53/71,462/65,774/369 is 3158694

2 53, 462, 774
3 53, 231, 387
53, 77, 129

∴ So the LCM of the given numbers is 2 x 3 x 53 x 77 x 129 = 3158694

Least Common Multiple of 53,462,774 with GCF Formula

Least Common Multiple of 53,462,774 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 53,462,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,462,774) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(53,462,774) x common factors =1 x 6 = 6

LCM(53,462,774) = ( 53 × 462 × 774 ) / 6

LCM(53,462,774) = 18952164 / 6

LCM(53,462,774) = 3158694


Lets's calculate GCF of 71,65,369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3158694/1

Therefore the LCM of Fractions 53/71,462/65,774/369 is 3158694

Greatest Common Factor of 71,65,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,65,369 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 369

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

1,3,9,41,123,369

Greatest Common Factor

We found the factors 71,65,369 . The biggest common factor number is the GCF number.
So the greatest common factor 71,65,369 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 53/71, 462/65, 774/369

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 53/71, 462/65, 774/369?

Answer: LCM of Numerators as per given numbers 53/71, 462/65, 774/369 is

LCM of Numerators i.e. for 53,462,774 is 3158694

GCF of denominators i.e. for 71,65,369 is 1.

Thus, LCM of Fractions is 3158694.Finally, LCM of Fractions for 53/71, 462/65, 774/369 is 3158694.