Least Common Multiple of 884/575, 1600/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 884/575, 1600/855 quickly i.e. 70720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 884/575, 1600/855 is 70720.

LCM(884/575, 1600/855) = 70720

LCM of 884/575, 1600/855

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 884/575,1600/855

Given numbers are 884/575,1600/855

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 884,1600

Least Common Multiple of Numerators i.e. LCM of 884,1600 is 353600.

GCF of Denominators means GCF of 575,855 as per the given fractions.

GCF of 575,855 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 884,1600

LCM of Fractions 884/575,1600/855 is 70720

2 884, 1600
2 442, 800
221, 400

∴ So the LCM of the given numbers is 2 x 2 x 221 x 400 = 353600

Least Common Multiple of 884,1600 with GCF Formula

Least Common Multiple of 884,1600 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 884,1600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,1600) = 4

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

GCF(884,1600) x common factors =4 x 1 = 4

LCM(884,1600) = ( 884 × 1600 ) / 4

LCM(884,1600) = 1414400 / 4

LCM(884,1600) = 353600


Lets's calculate GCF of 575,855

5 575, 855
115, 171

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 353600/5

Therefore the LCM of Fractions 884/575,1600/855 is 70720

Greatest Common Factor of 575,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,855 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 575,855 . The biggest common factor number is the GCF number.
So the greatest common factor 575,855 is 5.


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 884/575, 1600/855

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 884/575, 1600/855?

Answer: LCM of Numerators as per given numbers 884/575, 1600/855 is

LCM of Numerators i.e. for 884,1600 is 353600

GCF of denominators i.e. for 575,855 is 5.

Thus, LCM of Fractions is 70720.Finally, LCM of Fractions for 884/575, 1600/855 is 70720.