Given numbers are 717,772,980,984,936

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

The LCM of 717,772,980,984,936 is 433691589240.

Find LCM of 717,772,980,984,936 with Prime Factorization

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

2 x 2 x 2 x 3 x 239 x 193 x 245 x 41 x 39 = 433691589240

Therefore, the lowest common multiple of 717,772,980,984,936 is 433691589240.

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.

717 x 772 x 980 x 984 x 936 = 499612710804480

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.

717 : 1, 3, 239, 717

772 : 1, 2, 4, 193, 386, 772

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,772,980,984,936, is 1.

Now, the common factors can be found like this.

717:3x 239

772:2x 2x 193

980:2x 2x 5x 7x 7

984:2x 2x 2x 3x 41

936:2x 2x 2x 3x 3x 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 2x 2x 2x 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 499612710804480/(1x1152)

LCM = 499612710804480/1152

LCM = 433691589240

Thus, we can understand that the LCM of 717,772,980,984,936 is 433691589240.

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

• LCM of 159, 345, 516, 572, 817
• LCM of 652, 196, 876, 143, 585
• LCM of 545, 969, 667, 488, 574
• LCM of 607, 332, 224, 530, 675
• LCM of 633, 977, 760, 660, 994

1. What is the LCM of 717, 772, 980, 984, 936?

Answer: LCM of 717, 772, 980, 984, 936 is 433691589240.

2. How to calculate the LCM of 717, 772, 980, 984, 936?

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 717, 772, 980, 984, 936.

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}.