Least Common Multiple of 163/560, 200/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 163/560, 200/516 quickly i.e. 8150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 163/560, 200/516 is 8150.

LCM(163/560, 200/516) = 8150

LCM of 163/560, 200/516

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 163/560,200/516

Given numbers are 163/560,200/516

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 163,200

Least Common Multiple of Numerators i.e. LCM of 163,200 is 32600.

GCF of Denominators means GCF of 560,516 as per the given fractions.

GCF of 560,516 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 163,200

LCM of Fractions 163/560,200/516 is 8150

Given numbers has no common factors except 1. So, there LCM is their product i.e 32600

Least Common Multiple of 163,200 with GCF Formula

Least Common Multiple of 163,200 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 163,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,200) = 1

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

GCF(163,200) x common factors =1 x 1 = 1

LCM(163,200) = ( 163 × 200 ) / 1

LCM(163,200) = 32600 / 1

LCM(163,200) = 32600


Lets's calculate GCF of 560,516

2 560, 516
2 280, 258
140, 129

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32600/4

Therefore the LCM of Fractions 163/560,200/516 is 8150

Greatest Common Factor of 560,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,516 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 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 560,516 . The biggest common factor number is the GCF number.
So the greatest common factor 560,516 is 4.


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 163/560, 200/516

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 163/560, 200/516?

Answer: LCM of Numerators as per given numbers 163/560, 200/516 is

LCM of Numerators i.e. for 163,200 is 32600

GCF of denominators i.e. for 560,516 is 4.

Thus, LCM of Fractions is 8150.Finally, LCM of Fractions for 163/560, 200/516 is 8150.