Given numbers are 891,821,906,532,660

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

The LCM of 891,821,906,532,660 is 293818708260.

Find LCM of 891,821,906,532,660 with Prime Factorization

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

2 x 2 x 3 x 11 x 27 x 821 x 151 x 133 x 5 = 293818708260

Therefore, the lowest common multiple of 891,821,906,532,660 is 293818708260.

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.

891 x 821 x 906 x 532 x 660 = 232704416941920

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.

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

821 : 1, 821

906 : 1, 2, 3, 6, 151, 302, 453, 906

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,821,906,532,660, is 1.

Now, the common factors can be found like this.

891:3x 3x 3x 3x 11

821:821

906:2x 3x 151

532:2x 2x 7x 19

660:2x 2x 3x 5x 11

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 2x 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 232704416941920/(1x792)

LCM = 232704416941920/792

LCM = 293818708260

Thus, we can understand that the LCM of 891,821,906,532,660 is 293818708260.

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

• LCM of 739, 185, 286, 254, 735
• LCM of 399, 821, 533, 530, 688
• LCM of 795, 257, 479, 367, 768
• LCM of 687, 271, 270, 334, 661
• LCM of 153, 443, 845, 830, 836

1. What is the LCM of 891, 821, 906, 532, 660?

Answer: LCM of 891, 821, 906, 532, 660 is 293818708260.

2. How to calculate the LCM of 891, 821, 906, 532, 660?

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 891, 821, 906, 532, 660.

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}.