Least Common Multiple of 67/560, 493/387, 490/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/560, 493/387, 490/575 quickly i.e. 16185190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/560, 493/387, 490/575 is 16185190.

LCM(67/560, 493/387, 490/575) = 16185190

LCM of 67/560, 493/387, 490/575

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 67/560,493/387,490/575

Given numbers are 67/560,493/387,490/575

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 67,493,490

Least Common Multiple of Numerators i.e. LCM of 67,493,490 is 16185190.

GCF of Denominators means GCF of 560,387,575 as per the given fractions.

GCF of 560,387,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,493,490

LCM of Fractions 67/560,493/387,490/575 is 16185190

Given numbers has no common factors except 1. So, there LCM is their product i.e 16185190

Least Common Multiple of 67,493,490 with GCF Formula

Least Common Multiple of 67,493,490 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 67,493,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,493,490) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(67,493,490) x common factors =1 x 1 = 1

LCM(67,493,490) = ( 67 × 493 × 490 ) / 1

LCM(67,493,490) = 16185190 / 1

LCM(67,493,490) = 16185190


Lets's calculate GCF of 560,387,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16185190/1

Therefore the LCM of Fractions 67/560,493/387,490/575 is 16185190

Greatest Common Factor of 560,387,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,387,575 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 560,387,575 . The biggest common factor number is the GCF number.
So the greatest common factor 560,387,575 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 67/560, 493/387, 490/575

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 67/560, 493/387, 490/575?

Answer: LCM of Numerators as per given numbers 67/560, 493/387, 490/575 is

LCM of Numerators i.e. for 67,493,490 is 16185190

GCF of denominators i.e. for 560,387,575 is 1.

Thus, LCM of Fractions is 16185190.Finally, LCM of Fractions for 67/560, 493/387, 490/575 is 16185190.