Given numbers are 331,735,698,828

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

The LCM of 331,735,698,828 is 23434184340.

Find LCM of 331,735,698,828 with Prime Factorization

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

2 x 3 x 331 x 245 x 349 x 138 = 23434184340

Therefore, the lowest common multiple of 331,735,698,828 is 23434184340.

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.

331 x 735 x 698 x 828 = 140605106040

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.

331 : 1, 331

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

698 : 1, 2, 349, 698

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,735,698,828, is 1.

Now, the common factors can be found like this.

331:331

735:3x 5x 7x 7

698:2x 349

828:2x 2x 3x 3x 23

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 140605106040/(1x6)

LCM = 140605106040/6

LCM = 23434184340

Thus, we can understand that the LCM of 331,735,698,828 is 23434184340.

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

• LCM of 831, 787, 379, 629
• LCM of 913, 816, 632, 285
• LCM of 680, 996, 830, 781
• LCM of 108, 776, 428, 101
• LCM of 820, 788, 473, 527

1. What is the LCM of 331, 735, 698, 828?

Answer: LCM of 331, 735, 698, 828 is 23434184340.

2. How to calculate the LCM of 331, 735, 698, 828?

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 331, 735, 698, 828.

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}.