Least Common Multiple of 649/27, 894/4725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 649/27, 894/4725 quickly i.e. 580206/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 649/27, 894/4725 is 580206/27.

LCM(649/27, 894/4725) = 580206/27

LCM of 649/27, 894/4725

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 649/27,894/4725

Given numbers are 649/27,894/4725

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 649,894

Least Common Multiple of Numerators i.e. LCM of 649,894 is 580206.

GCF of Denominators means GCF of 27,4725 as per the given fractions.

GCF of 27,4725 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 649,894

LCM of Fractions 649/27,894/4725 is 580206/27

Given numbers has no common factors except 1. So, there LCM is their product i.e 580206

Least Common Multiple of 649,894 with GCF Formula

Least Common Multiple of 649,894 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 649,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,894) = 1

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

GCF(649,894) x common factors =1 x 1 = 1

LCM(649,894) = ( 649 × 894 ) / 1

LCM(649,894) = 580206 / 1

LCM(649,894) = 580206


Lets's calculate GCF of 27,4725

3 27, 4725
3 9, 1575
3 3, 525
1, 175

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580206/27

Therefore the LCM of Fractions 649/27,894/4725 is 580206/27

Greatest Common Factor of 27,4725 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,4725 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 4725

List of positive integer factors of 4725 that divides 4725 without a remainder.

1,3,5,7,9,15,21,25,27,35,45,63,75,105,135,175,189,225,315,525,675,945,1575,4725

Greatest Common Factor

We found the factors 27,4725 . The biggest common factor number is the GCF number.
So the greatest common factor 27,4725 is 27.


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 649/27, 894/4725

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 649/27, 894/4725?

Answer: LCM of Numerators as per given numbers 649/27, 894/4725 is

LCM of Numerators i.e. for 649,894 is 580206

GCF of denominators i.e. for 27,4725 is 27.

Thus, LCM of Fractions is 580206/27.Finally, LCM of Fractions for 649/27, 894/4725 is 580206/27.