Least Common Multiple of 52/746, 27/577, 792/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/746, 27/577, 792/319 quickly i.e. 30888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/746, 27/577, 792/319 is 30888.

LCM(52/746, 27/577, 792/319) = 30888

LCM of 52/746, 27/577, 792/319

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 52/746,27/577,792/319

Given numbers are 52/746,27/577,792/319

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 52,27,792

Least Common Multiple of Numerators i.e. LCM of 52,27,792 is 30888.

GCF of Denominators means GCF of 746,577,319 as per the given fractions.

GCF of 746,577,319 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,27,792

LCM of Fractions 52/746,27/577,792/319 is 30888

2 52, 27, 792
2 26, 27, 396
3 13, 27, 198
3 13, 9, 66
13, 3, 22

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 13 x 3 x 22 = 30888

Least Common Multiple of 52,27,792 with GCF Formula

Least Common Multiple of 52,27,792 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 52,27,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,27,792) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(52,27,792) x common factors =1 x 36 = 36

LCM(52,27,792) = ( 52 × 27 × 792 ) / 36

LCM(52,27,792) = 1111968 / 36

LCM(52,27,792) = 30888


Lets's calculate GCF of 746,577,319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30888/1

Therefore the LCM of Fractions 52/746,27/577,792/319 is 30888

Greatest Common Factor of 746,577,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,577,319 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 746,577,319 . The biggest common factor number is the GCF number.
So the greatest common factor 746,577,319 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 52/746, 27/577, 792/319

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 52/746, 27/577, 792/319?

Answer: LCM of Numerators as per given numbers 52/746, 27/577, 792/319 is

LCM of Numerators i.e. for 52,27,792 is 30888

GCF of denominators i.e. for 746,577,319 is 1.

Thus, LCM of Fractions is 30888.Finally, LCM of Fractions for 52/746, 27/577, 792/319 is 30888.