Given numbers are 742,658,964,406

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

The LCM of 742,658,964,406 is 487468772.

Find LCM of 742,658,964,406 with Prime Factorization

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

2 x 7 x 53 x 47 x 482 x 29 = 487468772

Therefore, the lowest common multiple of 742,658,964,406 is 487468772.

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.

742 x 658 x 964 x 406 = 191087758624

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

658 : 1, 2, 7, 14, 47, 94, 329, 658

964 : 1, 2, 4, 241, 482, 964

406 : 1, 2, 7, 14, 29, 58, 203, 406

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,658,964,406, is 2.

Now, the common factors can be found like this.

742:2x 7x 53

658:2x 7x 47

964:2x 2x 241

406:2x 7x 29

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 7x 7 = 196

Therefore, the value for common factors is 196.

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 = 191087758624/(2x196)

LCM = 191087758624/392

LCM = 487468772

Thus, we can understand that the LCM of 742,658,964,406 is 487468772.

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

• LCM of 256, 959, 175, 158
• LCM of 824, 491, 340, 173
• LCM of 219, 435, 992, 608
• LCM of 540, 571, 857, 702
• LCM of 780, 149, 527, 441

1. What is the LCM of 742, 658, 964, 406?

Answer: LCM of 742, 658, 964, 406 is 487468772.

2. How to calculate the LCM of 742, 658, 964, 406?

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 742, 658, 964, 406.

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}.