Given numbers are 470,389,722,346,564

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

The LCM of 470,389,722,346,564 is 68509691940.

Find LCM of 470,389,722,346,564 with Prime Factorization

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

2 x 47 x 5 x 389 x 361 x 173 x 6 = 68509691940

Therefore, the lowest common multiple of 470,389,722,346,564 is 68509691940.

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.

470 x 389 x 722 x 346 x 564 = 25759644169440

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

389 : 1, 389

722 : 1, 2, 19, 38, 361, 722

346 : 1, 2, 173, 346

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,389,722,346,564, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

389:389

722:2x 19x 19

346:2x 173

564:2x 2x 3x 47

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 47 = 376

Therefore, the value for common factors is 376.

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 = 25759644169440/(1x376)

LCM = 25759644169440/376

LCM = 68509691940

Thus, we can understand that the LCM of 470,389,722,346,564 is 68509691940.

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

• LCM of 978, 464, 550, 131, 406
• LCM of 200, 872, 680, 305, 282
• LCM of 197, 357, 552, 617, 142
• LCM of 398, 233, 816, 354, 794
• LCM of 741, 754, 356, 592, 839

1. What is the LCM of 470, 389, 722, 346, 564?

Answer: LCM of 470, 389, 722, 346, 564 is 68509691940.

2. How to calculate the LCM of 470, 389, 722, 346, 564?

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 470, 389, 722, 346, 564.

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}.