Least Common Multiple of 36/218, 58/504, 881/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/218, 58/504, 881/888 quickly i.e. 459882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/218, 58/504, 881/888 is 459882.

LCM(36/218, 58/504, 881/888) = 459882

LCM of 36/218, 58/504, 881/888

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 36/218,58/504,881/888

Given numbers are 36/218,58/504,881/888

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 36,58,881

Least Common Multiple of Numerators i.e. LCM of 36,58,881 is 919764.

GCF of Denominators means GCF of 218,504,888 as per the given fractions.

GCF of 218,504,888 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,58,881

LCM of Fractions 36/218,58/504,881/888 is 459882

2 36, 58, 881
18, 29, 881

∴ So the LCM of the given numbers is 2 x 18 x 29 x 881 = 919764

Least Common Multiple of 36,58,881 with GCF Formula

Least Common Multiple of 36,58,881 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 36,58,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,58,881) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(36,58,881) x common factors =1 x 2 = 2

LCM(36,58,881) = ( 36 × 58 × 881 ) / 2

LCM(36,58,881) = 1839528 / 2

LCM(36,58,881) = 919764


Lets's calculate GCF of 218,504,888

2 218, 504, 888
109, 252, 444

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 919764/2

Therefore the LCM of Fractions 36/218,58/504,881/888 is 459882

Greatest Common Factor of 218,504,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,504,888 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 218,504,888 . The biggest common factor number is the GCF number.
So the greatest common factor 218,504,888 is 2.


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 36/218, 58/504, 881/888

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 36/218, 58/504, 881/888?

Answer: LCM of Numerators as per given numbers 36/218, 58/504, 881/888 is

LCM of Numerators i.e. for 36,58,881 is 919764

GCF of denominators i.e. for 218,504,888 is 2.

Thus, LCM of Fractions is 459882.Finally, LCM of Fractions for 36/218, 58/504, 881/888 is 459882.