Least Common Multiple of 890/59, 900/1667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 890/59, 900/1667 quickly i.e. 80100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 890/59, 900/1667 is 80100.

LCM(890/59, 900/1667) = 80100

LCM of 890/59, 900/1667

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 890/59,900/1667

Given numbers are 890/59,900/1667

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 890,900

Least Common Multiple of Numerators i.e. LCM of 890,900 is 80100.

GCF of Denominators means GCF of 59,1667 as per the given fractions.

GCF of 59,1667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 890,900

LCM of Fractions 890/59,900/1667 is 80100

2 890, 900
5 445, 450
89, 90

∴ So the LCM of the given numbers is 2 x 5 x 89 x 90 = 80100

Least Common Multiple of 890,900 with GCF Formula

Least Common Multiple of 890,900 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 890,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,900) = 10

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

GCF(890,900) x common factors =10 x 1 = 10

LCM(890,900) = ( 890 × 900 ) / 10

LCM(890,900) = 801000 / 10

LCM(890,900) = 80100


Lets's calculate GCF of 59,1667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80100/1

Therefore the LCM of Fractions 890/59,900/1667 is 80100

Greatest Common Factor of 59,1667 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,1667 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 1667

List of positive integer factors of 1667 that divides 1667 without a remainder.

1,1667

Greatest Common Factor

We found the factors 59,1667 . The biggest common factor number is the GCF number.
So the greatest common factor 59,1667 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 890/59, 900/1667

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 890/59, 900/1667?

Answer: LCM of Numerators as per given numbers 890/59, 900/1667 is

LCM of Numerators i.e. for 890,900 is 80100

GCF of denominators i.e. for 59,1667 is 1.

Thus, LCM of Fractions is 80100.Finally, LCM of Fractions for 890/59, 900/1667 is 80100.