Least Common Multiple of 989/601, 309/914, 856/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 989/601, 309/914, 856/463 quickly i.e. 261594456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 989/601, 309/914, 856/463 is 261594456.

LCM(989/601, 309/914, 856/463) = 261594456

LCM of 989/601, 309/914, 856/463

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 989/601,309/914,856/463

Given numbers are 989/601,309/914,856/463

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 989,309,856

Least Common Multiple of Numerators i.e. LCM of 989,309,856 is 261594456.

GCF of Denominators means GCF of 601,914,463 as per the given fractions.

GCF of 601,914,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 989,309,856

LCM of Fractions 989/601,309/914,856/463 is 261594456

Given numbers has no common factors except 1. So, there LCM is their product i.e 261594456

Least Common Multiple of 989,309,856 with GCF Formula

Least Common Multiple of 989,309,856 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 989,309,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,309,856) = 1

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

GCF(989,309,856) x common factors =1 x 1 = 1

LCM(989,309,856) = ( 989 × 309 × 856 ) / 1

LCM(989,309,856) = 261594456 / 1

LCM(989,309,856) = 261594456


Lets's calculate GCF of 601,914,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261594456/1

Therefore the LCM of Fractions 989/601,309/914,856/463 is 261594456

Greatest Common Factor of 601,914,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,914,463 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 601,914,463 . The biggest common factor number is the GCF number.
So the greatest common factor 601,914,463 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 989/601, 309/914, 856/463

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 989/601, 309/914, 856/463?

Answer: LCM of Numerators as per given numbers 989/601, 309/914, 856/463 is

LCM of Numerators i.e. for 989,309,856 is 261594456

GCF of denominators i.e. for 601,914,463 is 1.

Thus, LCM of Fractions is 261594456.Finally, LCM of Fractions for 989/601, 309/914, 856/463 is 261594456.