Least Common Multiple of 40/18, 611/88, 520/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/18, 611/88, 520/888 quickly i.e. 12220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/18, 611/88, 520/888 is 12220.

LCM(40/18, 611/88, 520/888) = 12220

LCM of 40/18, 611/88, 520/888

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 40/18,611/88,520/888

Given numbers are 40/18,611/88,520/888

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 40,611,520

Least Common Multiple of Numerators i.e. LCM of 40,611,520 is 24440.

GCF of Denominators means GCF of 18,88,888 as per the given fractions.

GCF of 18,88,888 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,611,520

LCM of Fractions 40/18,611/88,520/888 is 12220

2 40, 611, 520
2 20, 611, 260
2 10, 611, 130
5 5, 611, 65
13 1, 611, 13
1, 47, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 13 x 1 x 47 x 1 = 24440

Least Common Multiple of 40,611,520 with GCF Formula

Least Common Multiple of 40,611,520 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 40,611,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,611,520) = 1

common factors(in case of two or more numbers have common factors) = 520

GCF(40,611,520) x common factors =1 x 520 = 520

LCM(40,611,520) = ( 40 × 611 × 520 ) / 520

LCM(40,611,520) = 12708800 / 520

LCM(40,611,520) = 24440


Lets's calculate GCF of 18,88,888

2 18, 88, 888
9, 44, 444

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24440/2

Therefore the LCM of Fractions 40/18,611/88,520/888 is 12220

Greatest Common Factor of 18,88,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,88,888 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

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 18,88,888 . The biggest common factor number is the GCF number.
So the greatest common factor 18,88,888 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 40/18, 611/88, 520/888

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 40/18, 611/88, 520/888?

Answer: LCM of Numerators as per given numbers 40/18, 611/88, 520/888 is

LCM of Numerators i.e. for 40,611,520 is 24440

GCF of denominators i.e. for 18,88,888 is 2.

Thus, LCM of Fractions is 12220.Finally, LCM of Fractions for 40/18, 611/88, 520/888 is 12220.