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LCM of 611, 869, 699, 110, 728

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


Find the LCM of 611, 869, 699, 110, 728 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 611, 869, 699, 110, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 611,869,699,110,728

Given numbers are 611,869,699,110,728

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

The LCM of 611,869,699,110,728 is 103919295480.

Find LCM of 611,869,699,110,728 with Prime Factorization


2 611, 869, 699, 110, 728
11 611, 869, 699, 55, 364
13 611, 79, 699, 5, 364
47, 79, 699, 5, 28

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

2 x 11 x 13 x 47 x 79 x 699 x 5 x 28 = 103919295480

Therefore, the lowest common multiple of 611,869,699,110,728 is 103919295480.

LCM Formula to Find Lowest Common Multiple of 611,869,699,110,728

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.

611 x 869 x 699 x 110 x 728 = 29720918507280

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.

611 : 1, 13, 47, 611

869 : 1, 11, 79, 869

699 : 1, 3, 233, 699

110 : 1, 2, 5, 10, 11, 22, 55, 110

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,869,699,110,728, is 1.

Now, the common factors can be found like this.

611:13x 47

869:11x 79

699:3x 233

110:2x 5x 11

728:2x 2x 2x 7x 13

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

2x 11x 13 = 286

Therefore, the value for common factors is 286.

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 = 29720918507280/(1x286)

LCM = 29720918507280/286

LCM = 103919295480

Thus, we can understand that the LCM of 611,869,699,110,728 is 103919295480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 611, 869, 699, 110, 728

1. What is the LCM of 611, 869, 699, 110, 728?

Answer: LCM of 611, 869, 699, 110, 728 is 103919295480.

2. How to calculate the LCM of 611, 869, 699, 110, 728?

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 611, 869, 699, 110, 728.

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}.