Given numbers are 470,513,698,716,354

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

The LCM of 470,513,698,716,354 is 1777361171580.

Find LCM of 470,513,698,716,354 with Prime Factorization

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

2 x 3 x 235 x 171 x 349 x 358 x 59 = 1777361171580

Therefore, the lowest common multiple of 470,513,698,716,354 is 1777361171580.

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 513 x 698 x 716 x 354 = 42656668117920

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

513 : 1, 3, 9, 19, 27, 57, 171, 513

698 : 1, 2, 349, 698

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,513,698,716,354, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

513:3x 3x 3x 19

698:2x 349

716:2x 2x 179

354:2x 3x 59

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 3 = 24

Therefore, the value for common factors is 24.

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 = 42656668117920/(1x24)

LCM = 42656668117920/24

LCM = 1777361171580

Thus, we can understand that the LCM of 470,513,698,716,354 is 1777361171580.

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

• LCM of 339, 766, 510, 816, 324
• LCM of 906, 424, 553, 734, 728
• LCM of 744, 847, 566, 677, 819
• LCM of 219, 102, 530, 156, 242
• LCM of 592, 961, 546, 596, 205

1. What is the LCM of 470, 513, 698, 716, 354?

Answer: LCM of 470, 513, 698, 716, 354 is 1777361171580.

2. How to calculate the LCM of 470, 513, 698, 716, 354?

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, 513, 698, 716, 354.

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}.