Given numbers are 624,402,214,116,759

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

The LCM of 624,402,214,116,759 is 32821746672.

Find LCM of 624,402,214,116,759 with Prime Factorization

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

2 x 2 x 3 x 52 x 67 x 107 x 29 x 253 = 32821746672

Therefore, the lowest common multiple of 624,402,214,116,759 is 32821746672.

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.

624 x 402 x 214 x 116 x 759 = 4726331520768

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

402 : 1, 2, 3, 6, 67, 134, 201, 402

214 : 1, 2, 107, 214

116 : 1, 2, 4, 29, 58, 116

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,402,214,116,759, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

402:2x 3x 67

214:2x 107

116:2x 2x 29

759:3x 11x 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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 4726331520768/(1x144)

LCM = 4726331520768/144

LCM = 32821746672

Thus, we can understand that the LCM of 624,402,214,116,759 is 32821746672.

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

• LCM of 579, 557, 709, 110, 322
• LCM of 895, 745, 192, 528, 842
• LCM of 287, 425, 297, 227, 867
• LCM of 794, 792, 136, 184, 411
• LCM of 698, 675, 411, 706, 282

1. What is the LCM of 624, 402, 214, 116, 759?

Answer: LCM of 624, 402, 214, 116, 759 is 32821746672.

2. How to calculate the LCM of 624, 402, 214, 116, 759?

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 624, 402, 214, 116, 759.

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}.