Given numbers are 561,291,748,547,249

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

The LCM of 561,291,748,547,249 is 9882344868.

Find LCM of 561,291,748,547,249 with Prime Factorization

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

3 x 11 x 17 x 1 x 97 x 4 x 547 x 83 = 9882344868

Therefore, the lowest common multiple of 561,291,748,547,249 is 9882344868.

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 291 x 748 x 547 x 249 = 16631986412844

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

291 : 1, 3, 97, 291

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

547 : 1, 547

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,291,748,547,249, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

291:3x 97

748:2x 2x 11x 17

547:547

249:3x 83

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

3x 3x 11x 17 = 1683

Therefore, the value for common factors is 1683.

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 = 16631986412844/(1x1683)

LCM = 16631986412844/1683

LCM = 9882344868

Thus, we can understand that the LCM of 561,291,748,547,249 is 9882344868.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 661, 550, 607, 346, 839
• LCM of 138, 575, 141, 121, 684
• LCM of 223, 700, 173, 318, 392
• LCM of 911, 570, 694, 578, 128
• LCM of 612, 114, 226, 725, 500

1. What is the LCM of 561, 291, 748, 547, 249?

Answer: LCM of 561, 291, 748, 547, 249 is 9882344868.

2. How to calculate the LCM of 561, 291, 748, 547, 249?

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, 291, 748, 547, 249.

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}.