Given numbers are 988,870,700,724,517

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

The LCM of 988,870,700,724,517 is 1407613307100.

Find LCM of 988,870,700,724,517 with Prime Factorization

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

2 x 2 x 5 x 247 x 87 x 35 x 181 x 517 = 1407613307100

Therefore, the lowest common multiple of 988,870,700,724,517 is 1407613307100.

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.

988 x 870 x 700 x 724 x 517 = 225218129136000

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

724 : 1, 2, 4, 181, 362, 724

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,870,700,724,517, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

870:2x 3x 5x 29

700:2x 2x 5x 5x 7

724:2x 2x 181

517:11x 47

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 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 225218129136000/(1x160)

LCM = 225218129136000/160

LCM = 1407613307100

Thus, we can understand that the LCM of 988,870,700,724,517 is 1407613307100.

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

• LCM of 247, 784, 615, 412, 342
• LCM of 755, 651, 697, 270, 745
• LCM of 155, 829, 530, 395, 203
• LCM of 939, 804, 468, 803, 293
• LCM of 179, 109, 917, 705, 322

1. What is the LCM of 988, 870, 700, 724, 517?

Answer: LCM of 988, 870, 700, 724, 517 is 1407613307100.

2. How to calculate the LCM of 988, 870, 700, 724, 517?

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 988, 870, 700, 724, 517.

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}.