Given numbers are 756,749,323,212,698

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

The LCM of 756,749,323,212,698 is 483291761652.

Find LCM of 756,749,323,212,698 with Prime Factorization

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

2 x 2 x 7 x 27 x 107 x 323 x 53 x 349 = 483291761652

Therefore, the lowest common multiple of 756,749,323,212,698 is 483291761652.

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.

756 x 749 x 323 x 212 x 698 = 27064338652512

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

749 : 1, 7, 107, 749

323 : 1, 17, 19, 323

212 : 1, 2, 4, 53, 106, 212

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,749,323,212,698, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

749:7x 107

323:17x 19

212:2x 2x 53

698:2x 349

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 7 = 56

Therefore, the value for common factors is 56.

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 = 27064338652512/(1x56)

LCM = 27064338652512/56

LCM = 483291761652

Thus, we can understand that the LCM of 756,749,323,212,698 is 483291761652.

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

• LCM of 766, 628, 105, 441, 555
• LCM of 255, 894, 630, 475, 547
• LCM of 598, 535, 715, 616, 535
• LCM of 212, 670, 342, 511, 261
• LCM of 410, 443, 357, 923, 698

1. What is the LCM of 756, 749, 323, 212, 698?

Answer: LCM of 756, 749, 323, 212, 698 is 483291761652.

2. How to calculate the LCM of 756, 749, 323, 212, 698?

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 756, 749, 323, 212, 698.

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}.