Given numbers are 491,432,434,628

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

The LCM of 491,432,434,628 is 7226443728.

Find LCM of 491,432,434,628 with Prime Factorization

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

2 x 2 x 491 x 108 x 217 x 157 = 7226443728

Therefore, the lowest common multiple of 491,432,434,628 is 7226443728.

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.

491 x 432 x 434 x 628 = 57811549824

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.

491 : 1, 491

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

434 : 1, 2, 7, 14, 31, 62, 217, 434

628 : 1, 2, 4, 157, 314, 628

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,432,434,628, is 1.

Now, the common factors can be found like this.

491:491

432:2x 2x 2x 2x 3x 3x 3

434:2x 7x 31

628:2x 2x 157

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 2 = 8

Therefore, the value for common factors is 8.

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 = 57811549824/(1x8)

LCM = 57811549824/8

LCM = 7226443728

Thus, we can understand that the LCM of 491,432,434,628 is 7226443728.

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

• LCM of 140, 664, 705, 266
• LCM of 635, 744, 282, 437
• LCM of 230, 286, 833, 392
• LCM of 134, 173, 177, 217
• LCM of 161, 291, 506, 181

1. What is the LCM of 491, 432, 434, 628?

Answer: LCM of 491, 432, 434, 628 is 7226443728.

2. How to calculate the LCM of 491, 432, 434, 628?

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 491, 432, 434, 628.

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}.