Least Common Multiple of 520/440, 493/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 520/440, 493/176 quickly i.e. 256360/88 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 520/440, 493/176 is 256360/88.

LCM(520/440, 493/176) = 256360/88

LCM of 520/440, 493/176

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 520/440,493/176

Given numbers are 520/440,493/176

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 520,493

Least Common Multiple of Numerators i.e. LCM of 520,493 is 256360.

GCF of Denominators means GCF of 440,176 as per the given fractions.

GCF of 440,176 is 88 as it is the largest common factor for these numbers.

Lets's calculate LCM of 520,493

LCM of Fractions 520/440,493/176 is 256360/88

Given numbers has no common factors except 1. So, there LCM is their product i.e 256360

Least Common Multiple of 520,493 with GCF Formula

Least Common Multiple of 520,493 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 520,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,493) = 1

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

GCF(520,493) x common factors =1 x 1 = 1

LCM(520,493) = ( 520 × 493 ) / 1

LCM(520,493) = 256360 / 1

LCM(520,493) = 256360


Lets's calculate GCF of 440,176

2 440, 176
2 220, 88
2 110, 44
11 55, 22
5, 2

∴ So the GCF of the given numbers is 2 x 2 x 2 x 11 = 88

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256360/88

Therefore the LCM of Fractions 520/440,493/176 is 256360/88

Greatest Common Factor of 440,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,176 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 440,176 . The biggest common factor number is the GCF number.
So the greatest common factor 440,176 is 88.


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 520/440, 493/176

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 520/440, 493/176?

Answer: LCM of Numerators as per given numbers 520/440, 493/176 is

LCM of Numerators i.e. for 520,493 is 256360

GCF of denominators i.e. for 440,176 is 88.

Thus, LCM of Fractions is 256360/88.Finally, LCM of Fractions for 520/440, 493/176 is 256360/88.