Given numbers are 564,731,630,676

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

The LCM of 564,731,630,676 is 7315979580.

Find LCM of 564,731,630,676 with Prime Factorization

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

2 x 2 x 3 x 47 x 731 x 105 x 169 = 7315979580

Therefore, the lowest common multiple of 564,731,630,676 is 7315979580.

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.

564 x 731 x 630 x 676 = 175583509920

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

731 : 1, 17, 43, 731

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,731,630,676, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

731:17x 43

630:2x 3x 3x 5x 7

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 175583509920/(1x24)

LCM = 175583509920/24

LCM = 7315979580

Thus, we can understand that the LCM of 564,731,630,676 is 7315979580.

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

• LCM of 799, 723, 564, 763
• LCM of 559, 946, 335, 586
• LCM of 560, 706, 347, 467
• LCM of 797, 555, 347, 947
• LCM of 792, 354, 358, 264

1. What is the LCM of 564, 731, 630, 676?

Answer: LCM of 564, 731, 630, 676 is 7315979580.

2. How to calculate the LCM of 564, 731, 630, 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 564, 731, 630, 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}.