Least Common Multiple of 53/595, 38/901, 966/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/595, 38/901, 966/782 quickly i.e. 972762/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/595, 38/901, 966/782 is 972762/17.

LCM(53/595, 38/901, 966/782) = 972762/17

LCM of 53/595, 38/901, 966/782

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 53/595,38/901,966/782

Given numbers are 53/595,38/901,966/782

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 53,38,966

Least Common Multiple of Numerators i.e. LCM of 53,38,966 is 972762.

GCF of Denominators means GCF of 595,901,782 as per the given fractions.

GCF of 595,901,782 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,38,966

LCM of Fractions 53/595,38/901,966/782 is 972762/17

2 53, 38, 966
53, 19, 483

∴ So the LCM of the given numbers is 2 x 53 x 19 x 483 = 972762

Least Common Multiple of 53,38,966 with GCF Formula

Least Common Multiple of 53,38,966 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 53,38,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,38,966) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(53,38,966) x common factors =1 x 2 = 2

LCM(53,38,966) = ( 53 × 38 × 966 ) / 2

LCM(53,38,966) = 1945524 / 2

LCM(53,38,966) = 972762


Lets's calculate GCF of 595,901,782

17 595, 901, 782
35, 53, 46

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 972762/17

Therefore the LCM of Fractions 53/595,38/901,966/782 is 972762/17

Greatest Common Factor of 595,901,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,901,782 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 595,901,782 . The biggest common factor number is the GCF number.
So the greatest common factor 595,901,782 is 17.


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 53/595, 38/901, 966/782

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 53/595, 38/901, 966/782?

Answer: LCM of Numerators as per given numbers 53/595, 38/901, 966/782 is

LCM of Numerators i.e. for 53,38,966 is 972762

GCF of denominators i.e. for 595,901,782 is 17.

Thus, LCM of Fractions is 972762/17.Finally, LCM of Fractions for 53/595, 38/901, 966/782 is 972762/17.