Given numbers are 462,770,245,349,406

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

The LCM of 462,770,245,349,406 is 163656570.

Find LCM of 462,770,245,349,406 with Prime Factorization

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

2 x 5 x 7 x 11 x 3 x 1 x 7 x 349 x 29 = 163656570

Therefore, the lowest common multiple of 462,770,245,349,406 is 163656570.

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.

462 x 770 x 245 x 349 x 406 = 12349524772200

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

245 : 1, 5, 7, 35, 49, 245

349 : 1, 349

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,770,245,349,406, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

770:2x 5x 7x 11

245:5x 7x 7

349:349

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 5x 7x 7x 7x 11 = 75460

Therefore, the value for common factors is 75460.

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 = 12349524772200/(1x75460)

LCM = 12349524772200/75460

LCM = 163656570

Thus, we can understand that the LCM of 462,770,245,349,406 is 163656570.

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

• LCM of 321, 851, 207, 637, 663
• LCM of 411, 613, 300, 995, 866
• LCM of 737, 980, 763, 485, 212
• LCM of 341, 624, 584, 252, 623
• LCM of 167, 530, 275, 533, 487

1. What is the LCM of 462, 770, 245, 349, 406?

Answer: LCM of 462, 770, 245, 349, 406 is 163656570.

2. How to calculate the LCM of 462, 770, 245, 349, 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 462, 770, 245, 349, 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}.