Least Common Multiple of 161/231, 219/410, 425/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 161/231, 219/410, 425/989 quickly i.e. 14985075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 161/231, 219/410, 425/989 is 14985075.

LCM(161/231, 219/410, 425/989) = 14985075

LCM of 161/231, 219/410, 425/989

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 161/231,219/410,425/989

Given numbers are 161/231,219/410,425/989

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 161,219,425

Least Common Multiple of Numerators i.e. LCM of 161,219,425 is 14985075.

GCF of Denominators means GCF of 231,410,989 as per the given fractions.

GCF of 231,410,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 161,219,425

LCM of Fractions 161/231,219/410,425/989 is 14985075

Given numbers has no common factors except 1. So, there LCM is their product i.e 14985075

Least Common Multiple of 161,219,425 with GCF Formula

Least Common Multiple of 161,219,425 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 161,219,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(161,219,425) = 1

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

GCF(161,219,425) x common factors =1 x 1 = 1

LCM(161,219,425) = ( 161 × 219 × 425 ) / 1

LCM(161,219,425) = 14985075 / 1

LCM(161,219,425) = 14985075


Lets's calculate GCF of 231,410,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14985075/1

Therefore the LCM of Fractions 161/231,219/410,425/989 is 14985075

Greatest Common Factor of 231,410,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,410,989 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 231,410,989 . The biggest common factor number is the GCF number.
So the greatest common factor 231,410,989 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 161/231, 219/410, 425/989

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 161/231, 219/410, 425/989?

Answer: LCM of Numerators as per given numbers 161/231, 219/410, 425/989 is

LCM of Numerators i.e. for 161,219,425 is 14985075

GCF of denominators i.e. for 231,410,989 is 1.

Thus, LCM of Fractions is 14985075.Finally, LCM of Fractions for 161/231, 219/410, 425/989 is 14985075.