Least Common Multiple of 229/163, 255/413, 153/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 229/163, 255/413, 153/461 quickly i.e. 175185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 229/163, 255/413, 153/461 is 175185.

LCM(229/163, 255/413, 153/461) = 175185

LCM of 229/163, 255/413, 153/461

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 229/163,255/413,153/461

Given numbers are 229/163,255/413,153/461

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 229,255,153

Least Common Multiple of Numerators i.e. LCM of 229,255,153 is 175185.

GCF of Denominators means GCF of 163,413,461 as per the given fractions.

GCF of 163,413,461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 229,255,153

LCM of Fractions 229/163,255/413,153/461 is 175185

3 229, 255, 153
17 229, 85, 51
229, 5, 3

∴ So the LCM of the given numbers is 3 x 17 x 229 x 5 x 3 = 175185

Least Common Multiple of 229,255,153 with GCF Formula

Least Common Multiple of 229,255,153 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 229,255,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,255,153) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(229,255,153) x common factors =1 x 51 = 51

LCM(229,255,153) = ( 229 × 255 × 153 ) / 51

LCM(229,255,153) = 8934435 / 51

LCM(229,255,153) = 175185


Lets's calculate GCF of 163,413,461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175185/1

Therefore the LCM of Fractions 229/163,255/413,153/461 is 175185

Greatest Common Factor of 163,413,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 163,413,461 By Matching Biggest Common Factor Method

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 163,413,461 . The biggest common factor number is the GCF number.
So the greatest common factor 163,413,461 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 229/163, 255/413, 153/461

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 229/163, 255/413, 153/461?

Answer: LCM of Numerators as per given numbers 229/163, 255/413, 153/461 is

LCM of Numerators i.e. for 229,255,153 is 175185

GCF of denominators i.e. for 163,413,461 is 1.

Thus, LCM of Fractions is 175185.Finally, LCM of Fractions for 229/163, 255/413, 153/461 is 175185.