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LCM of 221, 744, 443, 886

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 221, 744, 443, 886 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 221, 744, 443, 886. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,744,443,886

Given numbers are 221,744,443,886

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 221,744,443,886 is 72839832.

Find LCM of 221,744,443,886 with Prime Factorization


2 221, 744, 443, 886
443 221, 372, 443, 443
221, 372, 1, 1

Multiply the prime numbers at the bottom and the left side.

2 x 443 x 221 x 372 x 1 x 1 = 72839832

Therefore, the lowest common multiple of 221,744,443,886 is 72839832.

LCM Formula to Find Lowest Common Multiple of 221,744,443,886

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

221 x 744 x 443 x 886 = 64536091152

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

221 : 1, 13, 17, 221

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

443 : 1, 443

886 : 1, 2, 443, 886

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,744,443,886, is 1.

Now, the common factors can be found like this.

221:13x 17

744:2x 2x 2x 3x 31

443:443

886:2x 443

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 443 = 886

Therefore, the value for common factors is 886.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 64536091152/(1x886)

LCM = 64536091152/886

LCM = 72839832

Thus, we can understand that the LCM of 221,744,443,886 is 72839832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 744, 443, 886

1. What is the LCM of 221, 744, 443, 886?

Answer: LCM of 221, 744, 443, 886 is 72839832.

2. How to calculate the LCM of 221, 744, 443, 886?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 221, 744, 443, 886.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.