Least Common Multiple of 505/320, 1750/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/320, 1750/518 quickly i.e. 88375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/320, 1750/518 is 88375.

LCM(505/320, 1750/518) = 88375

LCM of 505/320, 1750/518

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 505/320,1750/518

Given numbers are 505/320,1750/518

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 505,1750

Least Common Multiple of Numerators i.e. LCM of 505,1750 is 176750.

GCF of Denominators means GCF of 320,518 as per the given fractions.

GCF of 320,518 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,1750

LCM of Fractions 505/320,1750/518 is 88375

5 505, 1750
101, 350

∴ So the LCM of the given numbers is 5 x 101 x 350 = 176750

Least Common Multiple of 505,1750 with GCF Formula

Least Common Multiple of 505,1750 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 505,1750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,1750) = 5

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

GCF(505,1750) x common factors =5 x 1 = 5

LCM(505,1750) = ( 505 × 1750 ) / 5

LCM(505,1750) = 883750 / 5

LCM(505,1750) = 176750


Lets's calculate GCF of 320,518

2 320, 518
160, 259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176750/2

Therefore the LCM of Fractions 505/320,1750/518 is 88375

Greatest Common Factor of 320,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,518 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 320,518 . The biggest common factor number is the GCF number.
So the greatest common factor 320,518 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 505/320, 1750/518

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 505/320, 1750/518?

Answer: LCM of Numerators as per given numbers 505/320, 1750/518 is

LCM of Numerators i.e. for 505,1750 is 176750

GCF of denominators i.e. for 320,518 is 2.

Thus, LCM of Fractions is 88375.Finally, LCM of Fractions for 505/320, 1750/518 is 88375.