Given numbers are 869,122,646,553,420

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

The LCM of 869,122,646,553,420 is 7191200940.

Find LCM of 869,122,646,553,420 with Prime Factorization

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

2 x 7 x 79 x 11 x 61 x 323 x 1 x 30 = 7191200940

Therefore, the lowest common multiple of 869,122,646,553,420 is 7191200940.

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.

869 x 122 x 646 x 553 x 420 = 15906936479280

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.

869 : 1, 11, 79, 869

122 : 1, 2, 61, 122

646 : 1, 2, 17, 19, 34, 38, 323, 646

553 : 1, 7, 79, 553

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,122,646,553,420, is 1.

Now, the common factors can be found like this.

869:11x 79

122:2x 61

646:2x 17x 19

553:7x 79

420:2x 2x 3x 5x 7

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 7x 79 = 2212

Therefore, the value for common factors is 2212.

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 = 15906936479280/(1x2212)

LCM = 15906936479280/2212

LCM = 7191200940

Thus, we can understand that the LCM of 869,122,646,553,420 is 7191200940.

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

• LCM of 575, 832, 547, 687, 441
• LCM of 771, 178, 736, 491, 291
• LCM of 118, 491, 524, 257, 502
• LCM of 115, 945, 242, 139, 766
• LCM of 156, 214, 760, 846, 833

1. What is the LCM of 869, 122, 646, 553, 420?

Answer: LCM of 869, 122, 646, 553, 420 is 7191200940.

2. How to calculate the LCM of 869, 122, 646, 553, 420?

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 869, 122, 646, 553, 420.

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}.