Least Common Multiple of 927/678, 706/459, 229/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 927/678, 706/459, 229/627 quickly i.e. 49957266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 927/678, 706/459, 229/627 is 49957266.

LCM(927/678, 706/459, 229/627) = 49957266

LCM of 927/678, 706/459, 229/627

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 927/678,706/459,229/627

Given numbers are 927/678,706/459,229/627

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 927,706,229

Least Common Multiple of Numerators i.e. LCM of 927,706,229 is 149871798.

GCF of Denominators means GCF of 678,459,627 as per the given fractions.

GCF of 678,459,627 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 927,706,229

LCM of Fractions 927/678,706/459,229/627 is 49957266

Given numbers has no common factors except 1. So, there LCM is their product i.e 149871798

Least Common Multiple of 927,706,229 with GCF Formula

Least Common Multiple of 927,706,229 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 927,706,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,706,229) = 1

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

GCF(927,706,229) x common factors =1 x 1 = 1

LCM(927,706,229) = ( 927 × 706 × 229 ) / 1

LCM(927,706,229) = 149871798 / 1

LCM(927,706,229) = 149871798


Lets's calculate GCF of 678,459,627

3 678, 459, 627
226, 153, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149871798/3

Therefore the LCM of Fractions 927/678,706/459,229/627 is 49957266

Greatest Common Factor of 678,459,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,459,627 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 678,459,627 . The biggest common factor number is the GCF number.
So the greatest common factor 678,459,627 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 927/678, 706/459, 229/627

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 927/678, 706/459, 229/627?

Answer: LCM of Numerators as per given numbers 927/678, 706/459, 229/627 is

LCM of Numerators i.e. for 927,706,229 is 149871798

GCF of denominators i.e. for 678,459,627 is 3.

Thus, LCM of Fractions is 49957266.Finally, LCM of Fractions for 927/678, 706/459, 229/627 is 49957266.