Given numbers are 821,889,884,130,468

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

The LCM of 821,889,884,130,468 is 29034188820.

Find LCM of 821,889,884,130,468 with Prime Factorization

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

2 x 2 x 13 x 821 x 889 x 17 x 5 x 9 = 29034188820

Therefore, the lowest common multiple of 821,889,884,130,468 is 29034188820.

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.

821 x 889 x 884 x 130 x 468 = 39254223284640

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.

821 : 1, 821

889 : 1, 7, 127, 889

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

130 : 1, 2, 5, 10, 13, 26, 65, 130

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,889,884,130,468, is 1.

Now, the common factors can be found like this.

821:821

889:7x 127

884:2x 2x 13x 17

130:2x 5x 13

468:2x 2x 3x 3x 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 2x 2x 13x 13 = 1352

Therefore, the value for common factors is 1352.

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 = 39254223284640/(1x1352)

LCM = 39254223284640/1352

LCM = 29034188820

Thus, we can understand that the LCM of 821,889,884,130,468 is 29034188820.

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

• LCM of 672, 373, 794, 747, 852
• LCM of 520, 434, 196, 450, 538
• LCM of 496, 792, 145, 310, 401
• LCM of 898, 759, 769, 527, 640
• LCM of 905, 582, 181, 991, 936

1. What is the LCM of 821, 889, 884, 130, 468?

Answer: LCM of 821, 889, 884, 130, 468 is 29034188820.

2. How to calculate the LCM of 821, 889, 884, 130, 468?

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 821, 889, 884, 130, 468.

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}.