Least Common Multiple of 145/60, 443/99, 900/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 145/60, 443/99, 900/890 quickly i.e. 11562300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 145/60, 443/99, 900/890 is 11562300.

LCM(145/60, 443/99, 900/890) = 11562300

LCM of 145/60, 443/99, 900/890

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 145/60,443/99,900/890

Given numbers are 145/60,443/99,900/890

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 145,443,900

Least Common Multiple of Numerators i.e. LCM of 145,443,900 is 11562300.

GCF of Denominators means GCF of 60,99,890 as per the given fractions.

GCF of 60,99,890 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 145,443,900

LCM of Fractions 145/60,443/99,900/890 is 11562300

5 145, 443, 900
29, 443, 180

∴ So the LCM of the given numbers is 5 x 29 x 443 x 180 = 11562300

Least Common Multiple of 145,443,900 with GCF Formula

Least Common Multiple of 145,443,900 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 145,443,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,443,900) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(145,443,900) x common factors =1 x 5 = 5

LCM(145,443,900) = ( 145 × 443 × 900 ) / 5

LCM(145,443,900) = 57811500 / 5

LCM(145,443,900) = 11562300


Lets's calculate GCF of 60,99,890

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11562300/1

Therefore the LCM of Fractions 145/60,443/99,900/890 is 11562300

Greatest Common Factor of 60,99,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,99,890 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 60,99,890 . The biggest common factor number is the GCF number.
So the greatest common factor 60,99,890 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 145/60, 443/99, 900/890

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 145/60, 443/99, 900/890?

Answer: LCM of Numerators as per given numbers 145/60, 443/99, 900/890 is

LCM of Numerators i.e. for 145,443,900 is 11562300

GCF of denominators i.e. for 60,99,890 is 1.

Thus, LCM of Fractions is 11562300.Finally, LCM of Fractions for 145/60, 443/99, 900/890 is 11562300.