Least Common Multiple of 570/960, 784/385, 504/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 570/960, 784/385, 504/516 quickly i.e. 670320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 570/960, 784/385, 504/516 is 670320.

LCM(570/960, 784/385, 504/516) = 670320

LCM of 570/960, 784/385, 504/516

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 570/960,784/385,504/516

Given numbers are 570/960,784/385,504/516

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 570,784,504

Least Common Multiple of Numerators i.e. LCM of 570,784,504 is 670320.

GCF of Denominators means GCF of 960,385,516 as per the given fractions.

GCF of 960,385,516 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 570,784,504

LCM of Fractions 570/960,784/385,504/516 is 670320

2 570, 784, 504
2 285, 392, 252
2 285, 196, 126
3 285, 98, 63
7 95, 98, 21
95, 14, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 95 x 14 x 3 = 670320

Least Common Multiple of 570,784,504 with GCF Formula

Least Common Multiple of 570,784,504 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 570,784,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,784,504) = 2

common factors(in case of two or more numbers have common factors) = 168

GCF(570,784,504) x common factors =2 x 168 = 336

LCM(570,784,504) = ( 570 × 784 × 504 ) / 336

LCM(570,784,504) = 225227520 / 336

LCM(570,784,504) = 670320


Lets's calculate GCF of 960,385,516

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 670320/1

Therefore the LCM of Fractions 570/960,784/385,504/516 is 670320

Greatest Common Factor of 960,385,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,385,516 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 960,385,516 . The biggest common factor number is the GCF number.
So the greatest common factor 960,385,516 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 570/960, 784/385, 504/516

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 570/960, 784/385, 504/516?

Answer: LCM of Numerators as per given numbers 570/960, 784/385, 504/516 is

LCM of Numerators i.e. for 570,784,504 is 670320

GCF of denominators i.e. for 960,385,516 is 1.

Thus, LCM of Fractions is 670320.Finally, LCM of Fractions for 570/960, 784/385, 504/516 is 670320.