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LCM of 561, 829, 869, 728

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


Find the LCM of 561, 829, 869, 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 561, 829, 869, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,829,869,728

Given numbers are 561,829,869,728

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

The LCM of 561,829,869,728 is 26747048328.

Find LCM of 561,829,869,728 with Prime Factorization


11 561, 829, 869, 728
51, 829, 79, 728

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

11 x 51 x 829 x 79 x 728 = 26747048328

Therefore, the lowest common multiple of 561,829,869,728 is 26747048328.

LCM Formula to Find Lowest Common Multiple of 561,829,869,728

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.

561 x 829 x 869 x 728 = 294217531608

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

829 : 1, 829

869 : 1, 11, 79, 869

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 561,829,869,728, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

829:829

869:11x 79

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.

11 = 11

Therefore, the value for common factors is 11.

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 = 294217531608/(1x11)

LCM = 294217531608/11

LCM = 26747048328

Thus, we can understand that the LCM of 561,829,869,728 is 26747048328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 829, 869, 728

1. What is the LCM of 561, 829, 869, 728?

Answer: LCM of 561, 829, 869, 728 is 26747048328.

2. How to calculate the LCM of 561, 829, 869, 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 561, 829, 869, 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}.