Given numbers are 716,414,341,470

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

The LCM of 716,414,341,470 is 11876968620.

Find LCM of 716,414,341,470 with Prime Factorization

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

2 x 358 x 207 x 341 x 235 = 11876968620

Therefore, the lowest common multiple of 716,414,341,470 is 11876968620.

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.

716 x 414 x 341 x 470 = 47507874480

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.

716 : 1, 2, 4, 179, 358, 716

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

341 : 1, 11, 31, 341

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,414,341,470, is 1.

Now, the common factors can be found like this.

716:2x 2x 179

414:2x 3x 3x 23

341:11x 31

470:2x 5x 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 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 = 47507874480/(1x4)

LCM = 47507874480/4

LCM = 11876968620

Thus, we can understand that the LCM of 716,414,341,470 is 11876968620.

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

• LCM of 240, 508, 477, 946
• LCM of 158, 647, 408, 107
• LCM of 315, 581, 951, 862
• LCM of 168, 293, 914, 224
• LCM of 586, 718, 500, 539

1. What is the LCM of 716, 414, 341, 470?

Answer: LCM of 716, 414, 341, 470 is 11876968620.

2. How to calculate the LCM of 716, 414, 341, 470?

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 716, 414, 341, 470.

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}.