Given numbers are 624,670,970,790,772

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

The LCM of 624,670,970,790,772 is 309161589360.

Find LCM of 624,670,970,790,772 with Prime Factorization

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

2 x 2 x 5 x 156 x 67 x 97 x 79 x 193 = 309161589360

Therefore, the lowest common multiple of 624,670,970,790,772 is 309161589360.

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 670 x 970 x 790 x 772 = 247329271488000

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

670 : 1, 2, 5, 10, 67, 134, 335, 670

970 : 1, 2, 5, 10, 97, 194, 485, 970

790 : 1, 2, 5, 10, 79, 158, 395, 790

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,670,970,790,772, is 2.

Now, the common factors can be found like this.

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

670:2x 5x 67

970:2x 5x 97

790:2x 5x 79

772:2x 2x 193

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 5 = 400

Therefore, the value for common factors is 400.

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 = 247329271488000/(2x400)

LCM = 247329271488000/800

LCM = 309161589360

Thus, we can understand that the LCM of 624,670,970,790,772 is 309161589360.

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

• LCM of 875, 795, 953, 681, 266
• LCM of 795, 266, 763, 137, 440
• LCM of 876, 182, 948, 496, 762
• LCM of 770, 804, 170, 362, 779
• LCM of 974, 279, 972, 203, 609

1. What is the LCM of 624, 670, 970, 790, 772?

Answer: LCM of 624, 670, 970, 790, 772 is 309161589360.

2. How to calculate the LCM of 624, 670, 970, 790, 772?

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, 670, 970, 790, 772.

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}.