Least Common Multiple of 48/488, 11/566, 175/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/488, 11/566, 175/801 quickly i.e. 92400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/488, 11/566, 175/801 is 92400.

LCM(48/488, 11/566, 175/801) = 92400

LCM of 48/488, 11/566, 175/801

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 48/488,11/566,175/801

Given numbers are 48/488,11/566,175/801

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 48,11,175

Least Common Multiple of Numerators i.e. LCM of 48,11,175 is 92400.

GCF of Denominators means GCF of 488,566,801 as per the given fractions.

GCF of 488,566,801 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,11,175

LCM of Fractions 48/488,11/566,175/801 is 92400

Given numbers has no common factors except 1. So, there LCM is their product i.e 92400

Least Common Multiple of 48,11,175 with GCF Formula

Least Common Multiple of 48,11,175 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 48,11,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,11,175) = 1

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

GCF(48,11,175) x common factors =1 x 1 = 1

LCM(48,11,175) = ( 48 × 11 × 175 ) / 1

LCM(48,11,175) = 92400 / 1

LCM(48,11,175) = 92400


Lets's calculate GCF of 488,566,801

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92400/1

Therefore the LCM of Fractions 48/488,11/566,175/801 is 92400

Greatest Common Factor of 488,566,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,566,801 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 488,566,801 . The biggest common factor number is the GCF number.
So the greatest common factor 488,566,801 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 48/488, 11/566, 175/801

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 48/488, 11/566, 175/801?

Answer: LCM of Numerators as per given numbers 48/488, 11/566, 175/801 is

LCM of Numerators i.e. for 48,11,175 is 92400

GCF of denominators i.e. for 488,566,801 is 1.

Thus, LCM of Fractions is 92400.Finally, LCM of Fractions for 48/488, 11/566, 175/801 is 92400.