Least Common Multiple of 340/28, 507/32, 728/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/28, 507/32, 728/550 quickly i.e. 1206660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/28, 507/32, 728/550 is 1206660.

LCM(340/28, 507/32, 728/550) = 1206660

LCM of 340/28, 507/32, 728/550

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 340/28,507/32,728/550

Given numbers are 340/28,507/32,728/550

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 340,507,728

Least Common Multiple of Numerators i.e. LCM of 340,507,728 is 2413320.

GCF of Denominators means GCF of 28,32,550 as per the given fractions.

GCF of 28,32,550 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,507,728

LCM of Fractions 340/28,507/32,728/550 is 1206660

2 340, 507, 728
2 170, 507, 364
13 85, 507, 182
85, 39, 14

∴ So the LCM of the given numbers is 2 x 2 x 13 x 85 x 39 x 14 = 2413320

Least Common Multiple of 340,507,728 with GCF Formula

Least Common Multiple of 340,507,728 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 340,507,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,507,728) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(340,507,728) x common factors =1 x 52 = 52

LCM(340,507,728) = ( 340 × 507 × 728 ) / 52

LCM(340,507,728) = 125492640 / 52

LCM(340,507,728) = 2413320


Lets's calculate GCF of 28,32,550

2 28, 32, 550
14, 16, 275

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2413320/2

Therefore the LCM of Fractions 340/28,507/32,728/550 is 1206660

Greatest Common Factor of 28,32,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,32,550 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 28,32,550 . The biggest common factor number is the GCF number.
So the greatest common factor 28,32,550 is 2.


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 340/28, 507/32, 728/550

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 340/28, 507/32, 728/550?

Answer: LCM of Numerators as per given numbers 340/28, 507/32, 728/550 is

LCM of Numerators i.e. for 340,507,728 is 2413320

GCF of denominators i.e. for 28,32,550 is 2.

Thus, LCM of Fractions is 1206660.Finally, LCM of Fractions for 340/28, 507/32, 728/550 is 1206660.