Given numbers are 587,856,528,770,745

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

The LCM of 587,856,528,770,745 is 172945837680.

Find LCM of 587,856,528,770,745 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 587 x 107 x 6 x 7 x 149 = 172945837680

Therefore, the lowest common multiple of 587,856,528,770,745 is 172945837680.

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.

587 x 856 x 528 x 770 x 745 = 152192337158400

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.

587 : 1, 587

856 : 1, 2, 4, 8, 107, 214, 428, 856

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,856,528,770,745, is 1.

Now, the common factors can be found like this.

587:587

856:2x 2x 2x 107

528:2x 2x 2x 2x 3x 11

770:2x 5x 7x 11

745:5x 149

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 2x 5x 11 = 880

Therefore, the value for common factors is 880.

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 = 152192337158400/(1x880)

LCM = 152192337158400/880

LCM = 172945837680

Thus, we can understand that the LCM of 587,856,528,770,745 is 172945837680.

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

• LCM of 803, 296, 953, 756, 628
• LCM of 988, 766, 941, 894, 987
• LCM of 401, 224, 743, 253, 559
• LCM of 858, 267, 669, 171, 677
• LCM of 195, 744, 805, 946, 604

1. What is the LCM of 587, 856, 528, 770, 745?

Answer: LCM of 587, 856, 528, 770, 745 is 172945837680.

2. How to calculate the LCM of 587, 856, 528, 770, 745?

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 587, 856, 528, 770, 745.

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}.