Least Common Multiple of 8677/462, 8612/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8677/462, 8612/927 quickly i.e. 74726324/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8677/462, 8612/927 is 74726324/3.

LCM(8677/462, 8612/927) = 74726324/3

LCM of 8677/462, 8612/927

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 8677/462,8612/927

Given numbers are 8677/462,8612/927

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 8677,8612

Least Common Multiple of Numerators i.e. LCM of 8677,8612 is 74726324.

GCF of Denominators means GCF of 462,927 as per the given fractions.

GCF of 462,927 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8677,8612

LCM of Fractions 8677/462,8612/927 is 74726324/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 74726324

Least Common Multiple of 8677,8612 with GCF Formula

Least Common Multiple of 8677,8612 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 8677,8612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8677,8612) = 1

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

GCF(8677,8612) x common factors =1 x 1 = 1

LCM(8677,8612) = ( 8677 × 8612 ) / 1

LCM(8677,8612) = 74726324 / 1

LCM(8677,8612) = 74726324


Lets's calculate GCF of 462,927

3 462, 927
154, 309

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74726324/3

Therefore the LCM of Fractions 8677/462,8612/927 is 74726324/3

Greatest Common Factor of 462,927 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,927 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Greatest Common Factor

We found the factors 462,927 . The biggest common factor number is the GCF number.
So the greatest common factor 462,927 is 3.


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 8677/462, 8612/927

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 8677/462, 8612/927?

Answer: LCM of Numerators as per given numbers 8677/462, 8612/927 is

LCM of Numerators i.e. for 8677,8612 is 74726324

GCF of denominators i.e. for 462,927 is 3.

Thus, LCM of Fractions is 74726324/3.Finally, LCM of Fractions for 8677/462, 8612/927 is 74726324/3.