Least Common Multiple of 889/999, 827/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 889/999, 827/521 quickly i.e. 735203 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 889/999, 827/521 is 735203.

LCM(889/999, 827/521) = 735203

LCM of 889/999, 827/521

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 889/999,827/521

Given numbers are 889/999,827/521

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 889,827

Least Common Multiple of Numerators i.e. LCM of 889,827 is 735203.

GCF of Denominators means GCF of 999,521 as per the given fractions.

GCF of 999,521 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 889,827

LCM of Fractions 889/999,827/521 is 735203

Given numbers has no common factors except 1. So, there LCM is their product i.e 735203

Least Common Multiple of 889,827 with GCF Formula

Least Common Multiple of 889,827 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 889,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,827) = 1

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

GCF(889,827) x common factors =1 x 1 = 1

LCM(889,827) = ( 889 × 827 ) / 1

LCM(889,827) = 735203 / 1

LCM(889,827) = 735203


Lets's calculate GCF of 999,521

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 735203/1

Therefore the LCM of Fractions 889/999,827/521 is 735203

Greatest Common Factor of 999,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,521 By Matching Biggest Common Factor Method

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Greatest Common Factor

We found the factors 999,521 . The biggest common factor number is the GCF number.
So the greatest common factor 999,521 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 889/999, 827/521

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 889/999, 827/521?

Answer: LCM of Numerators as per given numbers 889/999, 827/521 is

LCM of Numerators i.e. for 889,827 is 735203

GCF of denominators i.e. for 999,521 is 1.

Thus, LCM of Fractions is 735203.Finally, LCM of Fractions for 889/999, 827/521 is 735203.