Given numbers are 564,780,107,717

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

The LCM of 564,780,107,717 is 937506180.

Find LCM of 564,780,107,717 with Prime Factorization

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

2 x 2 x 3 x 47 x 65 x 107 x 239 = 937506180

Therefore, the lowest common multiple of 564,780,107,717 is 937506180.

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 780 x 107 x 717 = 33750222480

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

107 : 1, 107

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,780,107,717, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

780:2x 2x 3x 5x 13

107:107

717:3x 239

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 33750222480/(1x36)

LCM = 33750222480/36

LCM = 937506180

Thus, we can understand that the LCM of 564,780,107,717 is 937506180.

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

• LCM of 689, 763, 938, 148
• LCM of 640, 285, 484, 865
• LCM of 180, 172, 398, 361
• LCM of 660, 813, 209, 527
• LCM of 501, 579, 930, 992

1. What is the LCM of 564, 780, 107, 717?

Answer: LCM of 564, 780, 107, 717 is 937506180.

2. How to calculate the LCM of 564, 780, 107, 717?

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, 780, 107, 717.

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}.