Least Common Multiple of 989/406, 529/256, 900/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 989/406, 529/256, 900/136 quickly i.e. 10236150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 989/406, 529/256, 900/136 is 10236150.

LCM(989/406, 529/256, 900/136) = 10236150

LCM of 989/406, 529/256, 900/136

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 989/406,529/256,900/136

Given numbers are 989/406,529/256,900/136

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 989,529,900

Least Common Multiple of Numerators i.e. LCM of 989,529,900 is 20472300.

GCF of Denominators means GCF of 406,256,136 as per the given fractions.

GCF of 406,256,136 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 989,529,900

LCM of Fractions 989/406,529/256,900/136 is 10236150

23 989, 529, 900
43, 23, 900

∴ So the LCM of the given numbers is 23 x 43 x 23 x 900 = 20472300

Least Common Multiple of 989,529,900 with GCF Formula

Least Common Multiple of 989,529,900 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 989,529,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,529,900) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(989,529,900) x common factors =1 x 23 = 23

LCM(989,529,900) = ( 989 × 529 × 900 ) / 23

LCM(989,529,900) = 470862900 / 23

LCM(989,529,900) = 20472300


Lets's calculate GCF of 406,256,136

2 406, 256, 136
203, 128, 68

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20472300/2

Therefore the LCM of Fractions 989/406,529/256,900/136 is 10236150

Greatest Common Factor of 406,256,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,256,136 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 406,256,136 . The biggest common factor number is the GCF number.
So the greatest common factor 406,256,136 is 2.


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 989/406, 529/256, 900/136

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 989/406, 529/256, 900/136?

Answer: LCM of Numerators as per given numbers 989/406, 529/256, 900/136 is

LCM of Numerators i.e. for 989,529,900 is 20472300

GCF of denominators i.e. for 406,256,136 is 2.

Thus, LCM of Fractions is 10236150.Finally, LCM of Fractions for 989/406, 529/256, 900/136 is 10236150.