Least Common Multiple of 566/45, 160/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 566/45, 160/998 quickly i.e. 45280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 566/45, 160/998 is 45280.

LCM(566/45, 160/998) = 45280

LCM of 566/45, 160/998

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 566/45,160/998

Given numbers are 566/45,160/998

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 566,160

Least Common Multiple of Numerators i.e. LCM of 566,160 is 45280.

GCF of Denominators means GCF of 45,998 as per the given fractions.

GCF of 45,998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 566,160

LCM of Fractions 566/45,160/998 is 45280

2 566, 160
283, 80

∴ So the LCM of the given numbers is 2 x 283 x 80 = 45280

Least Common Multiple of 566,160 with GCF Formula

Least Common Multiple of 566,160 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 566,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,160) = 2

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

GCF(566,160) x common factors =2 x 1 = 2

LCM(566,160) = ( 566 × 160 ) / 2

LCM(566,160) = 90560 / 2

LCM(566,160) = 45280


Lets's calculate GCF of 45,998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45280/1

Therefore the LCM of Fractions 566/45,160/998 is 45280

Greatest Common Factor of 45,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,998 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 45,998 . The biggest common factor number is the GCF number.
So the greatest common factor 45,998 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 566/45, 160/998

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 566/45, 160/998?

Answer: LCM of Numerators as per given numbers 566/45, 160/998 is

LCM of Numerators i.e. for 566,160 is 45280

GCF of denominators i.e. for 45,998 is 1.

Thus, LCM of Fractions is 45280.Finally, LCM of Fractions for 566/45, 160/998 is 45280.