Least Common Multiple of 46/506, 897/340, 229/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/506, 897/340, 229/149 quickly i.e. 410826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/506, 897/340, 229/149 is 410826.

LCM(46/506, 897/340, 229/149) = 410826

LCM of 46/506, 897/340, 229/149

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 46/506,897/340,229/149

Given numbers are 46/506,897/340,229/149

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 46,897,229

Least Common Multiple of Numerators i.e. LCM of 46,897,229 is 410826.

GCF of Denominators means GCF of 506,340,149 as per the given fractions.

GCF of 506,340,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,897,229

LCM of Fractions 46/506,897/340,229/149 is 410826

23 46, 897, 229
2, 39, 229

∴ So the LCM of the given numbers is 23 x 2 x 39 x 229 = 410826

Least Common Multiple of 46,897,229 with GCF Formula

Least Common Multiple of 46,897,229 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 46,897,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,897,229) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(46,897,229) x common factors =1 x 23 = 23

LCM(46,897,229) = ( 46 × 897 × 229 ) / 23

LCM(46,897,229) = 9448998 / 23

LCM(46,897,229) = 410826


Lets's calculate GCF of 506,340,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 410826/1

Therefore the LCM of Fractions 46/506,897/340,229/149 is 410826

Greatest Common Factor of 506,340,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,340,149 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 506,340,149 . The biggest common factor number is the GCF number.
So the greatest common factor 506,340,149 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 46/506, 897/340, 229/149

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 46/506, 897/340, 229/149?

Answer: LCM of Numerators as per given numbers 46/506, 897/340, 229/149 is

LCM of Numerators i.e. for 46,897,229 is 410826

GCF of denominators i.e. for 506,340,149 is 1.

Thus, LCM of Fractions is 410826.Finally, LCM of Fractions for 46/506, 897/340, 229/149 is 410826.