Given numbers are 464,614,421,762,970

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

The LCM of 464,614,421,762,970 is 11081668799280.

Find LCM of 464,614,421,762,970 with Prime Factorization

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

2 x 232 x 307 x 421 x 381 x 485 = 11081668799280

Therefore, the lowest common multiple of 464,614,421,762,970 is 11081668799280.

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.

464 x 614 x 421 x 762 x 970 = 88653350394240

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

614 : 1, 2, 307, 614

421 : 1, 421

762 : 1, 2, 3, 6, 127, 254, 381, 762

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,614,421,762,970, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

614:2x 307

421:421

762:2x 3x 127

970:2x 5x 97

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 2 = 8

Therefore, the value for common factors is 8.

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 = 88653350394240/(1x8)

LCM = 88653350394240/8

LCM = 11081668799280

Thus, we can understand that the LCM of 464,614,421,762,970 is 11081668799280.

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

• LCM of 639, 827, 781, 895, 778
• LCM of 944, 121, 615, 454, 876
• LCM of 615, 725, 927, 345, 413
• LCM of 555, 925, 500, 933, 811
• LCM of 138, 176, 204, 476, 706

1. What is the LCM of 464, 614, 421, 762, 970?

Answer: LCM of 464, 614, 421, 762, 970 is 11081668799280.

2. How to calculate the LCM of 464, 614, 421, 762, 970?

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 464, 614, 421, 762, 970.

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}.