Least Common Multiple of 89/189, 655/929, 857/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/189, 655/929, 857/961 quickly i.e. 49958815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/189, 655/929, 857/961 is 49958815.

LCM(89/189, 655/929, 857/961) = 49958815

LCM of 89/189, 655/929, 857/961

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 89/189,655/929,857/961

Given numbers are 89/189,655/929,857/961

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 89,655,857

Least Common Multiple of Numerators i.e. LCM of 89,655,857 is 49958815.

GCF of Denominators means GCF of 189,929,961 as per the given fractions.

GCF of 189,929,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,655,857

LCM of Fractions 89/189,655/929,857/961 is 49958815

Given numbers has no common factors except 1. So, there LCM is their product i.e 49958815

Least Common Multiple of 89,655,857 with GCF Formula

Least Common Multiple of 89,655,857 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 89,655,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,655,857) = 1

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

GCF(89,655,857) x common factors =1 x 1 = 1

LCM(89,655,857) = ( 89 × 655 × 857 ) / 1

LCM(89,655,857) = 49958815 / 1

LCM(89,655,857) = 49958815


Lets's calculate GCF of 189,929,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49958815/1

Therefore the LCM of Fractions 89/189,655/929,857/961 is 49958815

Greatest Common Factor of 189,929,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,929,961 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 189,929,961 . The biggest common factor number is the GCF number.
So the greatest common factor 189,929,961 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 89/189, 655/929, 857/961

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 89/189, 655/929, 857/961?

Answer: LCM of Numerators as per given numbers 89/189, 655/929, 857/961 is

LCM of Numerators i.e. for 89,655,857 is 49958815

GCF of denominators i.e. for 189,929,961 is 1.

Thus, LCM of Fractions is 49958815.Finally, LCM of Fractions for 89/189, 655/929, 857/961 is 49958815.