Least Common Multiple of 46/424, 120/519, 900/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/424, 120/519, 900/272 quickly i.e. 41400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/424, 120/519, 900/272 is 41400.

LCM(46/424, 120/519, 900/272) = 41400

LCM of 46/424, 120/519, 900/272

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 46/424,120/519,900/272

Given numbers are 46/424,120/519,900/272

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 46,120,900

Least Common Multiple of Numerators i.e. LCM of 46,120,900 is 41400.

GCF of Denominators means GCF of 424,519,272 as per the given fractions.

GCF of 424,519,272 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,120,900

LCM of Fractions 46/424,120/519,900/272 is 41400

2 46, 120, 900
2 23, 60, 450
3 23, 30, 225
5 23, 10, 75
23, 2, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 23 x 2 x 15 = 41400

Least Common Multiple of 46,120,900 with GCF Formula

Least Common Multiple of 46,120,900 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 46,120,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,120,900) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(46,120,900) x common factors =2 x 60 = 120

LCM(46,120,900) = ( 46 × 120 × 900 ) / 120

LCM(46,120,900) = 4968000 / 120

LCM(46,120,900) = 41400


Lets's calculate GCF of 424,519,272

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41400/1

Therefore the LCM of Fractions 46/424,120/519,900/272 is 41400

Greatest Common Factor of 424,519,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,519,272 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 424,519,272 . The biggest common factor number is the GCF number.
So the greatest common factor 424,519,272 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 46/424, 120/519, 900/272

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 46/424, 120/519, 900/272?

Answer: LCM of Numerators as per given numbers 46/424, 120/519, 900/272 is

LCM of Numerators i.e. for 46,120,900 is 41400

GCF of denominators i.e. for 424,519,272 is 1.

Thus, LCM of Fractions is 41400.Finally, LCM of Fractions for 46/424, 120/519, 900/272 is 41400.