Given numbers are 470,746,269,916

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

The LCM of 470,746,269,916 is 21598542620.

Find LCM of 470,746,269,916 with Prime Factorization

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

2 x 235 x 373 x 269 x 458 = 21598542620

Therefore, the lowest common multiple of 470,746,269,916 is 21598542620.

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 746 x 269 x 916 = 86394170480

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

746 : 1, 2, 373, 746

269 : 1, 269

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,746,269,916, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

746:2x 373

269:269

916:2x 2x 229

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 86394170480/(1x4)

LCM = 86394170480/4

LCM = 21598542620

Thus, we can understand that the LCM of 470,746,269,916 is 21598542620.

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

• LCM of 111, 277, 792, 366
• LCM of 311, 529, 353, 922
• LCM of 374, 269, 554, 571
• LCM of 774, 472, 231, 563
• LCM of 212, 733, 959, 152

1. What is the LCM of 470, 746, 269, 916?

Answer: LCM of 470, 746, 269, 916 is 21598542620.

2. How to calculate the LCM of 470, 746, 269, 916?

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, 746, 269, 916.

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}.