Least Common Multiple of 49/81, 424/54, 639/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/81, 424/54, 639/288 quickly i.e. 1475096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/81, 424/54, 639/288 is 1475096.

LCM(49/81, 424/54, 639/288) = 1475096

LCM of 49/81, 424/54, 639/288

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 49/81,424/54,639/288

Given numbers are 49/81,424/54,639/288

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 49,424,639

Least Common Multiple of Numerators i.e. LCM of 49,424,639 is 13275864.

GCF of Denominators means GCF of 81,54,288 as per the given fractions.

GCF of 81,54,288 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,424,639

LCM of Fractions 49/81,424/54,639/288 is 1475096

Given numbers has no common factors except 1. So, there LCM is their product i.e 13275864

Least Common Multiple of 49,424,639 with GCF Formula

Least Common Multiple of 49,424,639 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 49,424,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,424,639) = 1

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

GCF(49,424,639) x common factors =1 x 1 = 1

LCM(49,424,639) = ( 49 × 424 × 639 ) / 1

LCM(49,424,639) = 13275864 / 1

LCM(49,424,639) = 13275864


Lets's calculate GCF of 81,54,288

3 81, 54, 288
3 27, 18, 96
9, 6, 32

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13275864/9

Therefore the LCM of Fractions 49/81,424/54,639/288 is 1475096

Greatest Common Factor of 81,54,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,54,288 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 81,54,288 . The biggest common factor number is the GCF number.
So the greatest common factor 81,54,288 is 9.


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 49/81, 424/54, 639/288

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 49/81, 424/54, 639/288?

Answer: LCM of Numerators as per given numbers 49/81, 424/54, 639/288 is

LCM of Numerators i.e. for 49,424,639 is 13275864

GCF of denominators i.e. for 81,54,288 is 9.

Thus, LCM of Fractions is 1475096.Finally, LCM of Fractions for 49/81, 424/54, 639/288 is 1475096.