Given numbers are 324,596,476,440,109

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

The LCM of 324,596,476,440,109 is 68880679560.

Find LCM of 324,596,476,440,109 with Prime Factorization

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

2 x 2 x 81 x 149 x 119 x 110 x 109 = 68880679560

Therefore, the lowest common multiple of 324,596,476,440,109 is 68880679560.

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.

324 x 596 x 476 x 440 x 109 = 4408363491840

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

596 : 1, 2, 4, 149, 298, 596

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

109 : 1, 109

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,596,476,440,109, is 1.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

596:2x 2x 149

476:2x 2x 7x 17

440:2x 2x 2x 5x 11

109:109

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 2 = 64

Therefore, the value for common factors is 64.

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 = 4408363491840/(1x64)

LCM = 4408363491840/64

LCM = 68880679560

Thus, we can understand that the LCM of 324,596,476,440,109 is 68880679560.

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

• LCM of 388, 844, 931, 678, 146
• LCM of 861, 429, 127, 117, 869
• LCM of 419, 334, 631, 509, 351
• LCM of 532, 992, 631, 770, 744
• LCM of 640, 767, 163, 345, 829

1. What is the LCM of 324, 596, 476, 440, 109?

Answer: LCM of 324, 596, 476, 440, 109 is 68880679560.

2. How to calculate the LCM of 324, 596, 476, 440, 109?

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 324, 596, 476, 440, 109.

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}.