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LCM of 728, 989, 221, 188

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


Find the LCM of 728, 989, 221, 188 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 728, 989, 221, 188. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 728,989,221,188

Given numbers are 728,989,221,188

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

The LCM of 728,989,221,188 is 575273608.

Find LCM of 728,989,221,188 with Prime Factorization


2 728, 989, 221, 188
2 364, 989, 221, 94
13 182, 989, 221, 47
14, 989, 17, 47

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

2 x 2 x 13 x 14 x 989 x 17 x 47 = 575273608

Therefore, the lowest common multiple of 728,989,221,188 is 575273608.

LCM Formula to Find Lowest Common Multiple of 728,989,221,188

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.

728 x 989 x 221 x 188 = 29914227616

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

989 : 1, 23, 43, 989

221 : 1, 13, 17, 221

188 : 1, 2, 4, 47, 94, 188

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,989,221,188, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

989:23x 43

221:13x 17

188:2x 2x 47

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

2x 2x 13 = 52

Therefore, the value for common factors is 52.

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 = 29914227616/(1x52)

LCM = 29914227616/52

LCM = 575273608

Thus, we can understand that the LCM of 728,989,221,188 is 575273608.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 728, 989, 221, 188

1. What is the LCM of 728, 989, 221, 188?

Answer: LCM of 728, 989, 221, 188 is 575273608.

2. How to calculate the LCM of 728, 989, 221, 188?

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 728, 989, 221, 188.

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}.