Given numbers are 560,642,922,676

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

The LCM of 560,642,922,676 is 14004921840.

Find LCM of 560,642,922,676 with Prime Factorization

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

2 x 2 x 140 x 321 x 461 x 169 = 14004921840

Therefore, the lowest common multiple of 560,642,922,676 is 14004921840.

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.

560 x 642 x 922 x 676 = 224078749440

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

642 : 1, 2, 3, 6, 107, 214, 321, 642

922 : 1, 2, 461, 922

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,642,922,676, is 2.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

642:2x 3x 107

922:2x 461

676:2x 2x 13x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 224078749440/(2x8)

LCM = 224078749440/16

LCM = 14004921840

Thus, we can understand that the LCM of 560,642,922,676 is 14004921840.

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

• LCM of 354, 189, 934, 419
• LCM of 368, 893, 974, 170
• LCM of 661, 331, 520, 471
• LCM of 919, 757, 868, 530
• LCM of 498, 631, 388, 875

1. What is the LCM of 560, 642, 922, 676?

Answer: LCM of 560, 642, 922, 676 is 14004921840.

2. How to calculate the LCM of 560, 642, 922, 676?

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 560, 642, 922, 676.

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}.