Least Common Multiple of 25/630, 164/299, 712/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 25/630, 164/299, 712/230 quickly i.e. 729800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/630, 164/299, 712/230 is 729800.

LCM(25/630, 164/299, 712/230) = 729800

LCM of 25/630, 164/299, 712/230

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 25/630,164/299,712/230

Given numbers are 25/630,164/299,712/230

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 25,164,712

Least Common Multiple of Numerators i.e. LCM of 25,164,712 is 729800.

GCF of Denominators means GCF of 630,299,230 as per the given fractions.

GCF of 630,299,230 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,164,712

LCM of Fractions 25/630,164/299,712/230 is 729800

2 25, 164, 712
2 25, 82, 356
25, 41, 178

∴ So the LCM of the given numbers is 2 x 2 x 25 x 41 x 178 = 729800

Least Common Multiple of 25,164,712 with GCF Formula

Least Common Multiple of 25,164,712 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 25,164,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,164,712) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(25,164,712) x common factors =1 x 4 = 4

LCM(25,164,712) = ( 25 × 164 × 712 ) / 4

LCM(25,164,712) = 2919200 / 4

LCM(25,164,712) = 729800


Lets's calculate GCF of 630,299,230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 729800/1

Therefore the LCM of Fractions 25/630,164/299,712/230 is 729800

Greatest Common Factor of 630,299,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,299,230 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 630,299,230 . The biggest common factor number is the GCF number.
So the greatest common factor 630,299,230 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 25/630, 164/299, 712/230

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 25/630, 164/299, 712/230?

Answer: LCM of Numerators as per given numbers 25/630, 164/299, 712/230 is

LCM of Numerators i.e. for 25,164,712 is 729800

GCF of denominators i.e. for 630,299,230 is 1.

Thus, LCM of Fractions is 729800.Finally, LCM of Fractions for 25/630, 164/299, 712/230 is 729800.