Given numbers are 735,698,528,352

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

The LCM of 735,698,528,352 is 90293280.

Find LCM of 735,698,528,352 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 245 x 349 x 1 x 2 = 90293280

Therefore, the lowest common multiple of 735,698,528,352 is 90293280.

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.

735 x 698 x 528 x 352 = 95349703680

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.

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

698 : 1, 2, 349, 698

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,698,528,352, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

698:2x 349

528:2x 2x 2x 2x 3x 11

352:2x 2x 2x 2x 2x 11

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 2x 2x 3x 11 = 1056

Therefore, the value for common factors is 1056.

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 = 95349703680/(1x1056)

LCM = 95349703680/1056

LCM = 90293280

Thus, we can understand that the LCM of 735,698,528,352 is 90293280.

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

• LCM of 389, 695, 187, 419
• LCM of 536, 990, 840, 396
• LCM of 973, 715, 947, 652
• LCM of 697, 918, 926, 181
• LCM of 460, 118, 264, 908

1. What is the LCM of 735, 698, 528, 352?

Answer: LCM of 735, 698, 528, 352 is 90293280.

2. How to calculate the LCM of 735, 698, 528, 352?

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 735, 698, 528, 352.

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}.