Given numbers are 814,936,717,214,644

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

The LCM of 814,936,717,214,644 is 1568475764856.

Find LCM of 814,936,717,214,644 with Prime Factorization

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

2 x 2 x 3 x 407 x 78 x 239 x 107 x 161 = 1568475764856

Therefore, the lowest common multiple of 814,936,717,214,644 is 1568475764856.

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.

814 x 936 x 717 x 214 x 644 = 75286836713088

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

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

717 : 1, 3, 239, 717

214 : 1, 2, 107, 214

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,936,717,214,644, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

936:2x 2x 2x 3x 3x 13

717:3x 239

214:2x 107

644:2x 2x 7x 23

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 3 = 48

Therefore, the value for common factors is 48.

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 = 75286836713088/(1x48)

LCM = 75286836713088/48

LCM = 1568475764856

Thus, we can understand that the LCM of 814,936,717,214,644 is 1568475764856.

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

• LCM of 834, 101, 534, 802, 468
• LCM of 941, 438, 335, 781, 178
• LCM of 267, 539, 649, 930, 231
• LCM of 726, 134, 248, 471, 142
• LCM of 410, 713, 836, 293, 475

1. What is the LCM of 814, 936, 717, 214, 644?

Answer: LCM of 814, 936, 717, 214, 644 is 1568475764856.

2. How to calculate the LCM of 814, 936, 717, 214, 644?

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 814, 936, 717, 214, 644.

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}.