Least Common Multiple of 57/552, 64/591, 710/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/552, 64/591, 710/978 quickly i.e. 431680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/552, 64/591, 710/978 is 431680.

LCM(57/552, 64/591, 710/978) = 431680

LCM of 57/552, 64/591, 710/978

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 57/552,64/591,710/978

Given numbers are 57/552,64/591,710/978

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 57,64,710

Least Common Multiple of Numerators i.e. LCM of 57,64,710 is 1295040.

GCF of Denominators means GCF of 552,591,978 as per the given fractions.

GCF of 552,591,978 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,64,710

LCM of Fractions 57/552,64/591,710/978 is 431680

2 57, 64, 710
57, 32, 355

∴ So the LCM of the given numbers is 2 x 57 x 32 x 355 = 1295040

Least Common Multiple of 57,64,710 with GCF Formula

Least Common Multiple of 57,64,710 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 57,64,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,64,710) = 1

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

GCF(57,64,710) x common factors =1 x 2 = 2

LCM(57,64,710) = ( 57 × 64 × 710 ) / 2

LCM(57,64,710) = 2590080 / 2

LCM(57,64,710) = 1295040


Lets's calculate GCF of 552,591,978

3 552, 591, 978
184, 197, 326

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1295040/3

Therefore the LCM of Fractions 57/552,64/591,710/978 is 431680

Greatest Common Factor of 552,591,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,591,978 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 552,591,978 . The biggest common factor number is the GCF number.
So the greatest common factor 552,591,978 is 3.


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 57/552, 64/591, 710/978

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 57/552, 64/591, 710/978?

Answer: LCM of Numerators as per given numbers 57/552, 64/591, 710/978 is

LCM of Numerators i.e. for 57,64,710 is 1295040

GCF of denominators i.e. for 552,591,978 is 3.

Thus, LCM of Fractions is 431680.Finally, LCM of Fractions for 57/552, 64/591, 710/978 is 431680.