Given numbers are 351,305,528,738,896

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

The LCM of 351,305,528,738,896 is 43260497280.

Find LCM of 351,305,528,738,896 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 39 x 305 x 11 x 41 x 56 = 43260497280

Therefore, the lowest common multiple of 351,305,528,738,896 is 43260497280.

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.

351 x 305 x 528 x 738 x 896 = 37377069649920

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

305 : 1, 5, 61, 305

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

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,305,528,738,896, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

305:5x 61

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

738:2x 3x 3x 41

896:2x 2x 2x 2x 2x 2x 2x 7

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 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 37377069649920/(1x864)

LCM = 37377069649920/864

LCM = 43260497280

Thus, we can understand that the LCM of 351,305,528,738,896 is 43260497280.

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

• LCM of 625, 650, 712, 106, 360
• LCM of 151, 162, 333, 208, 663
• LCM of 416, 514, 222, 812, 997
• LCM of 534, 210, 350, 972, 468
• LCM of 289, 223, 968, 565, 843

1. What is the LCM of 351, 305, 528, 738, 896?

Answer: LCM of 351, 305, 528, 738, 896 is 43260497280.

2. How to calculate the LCM of 351, 305, 528, 738, 896?

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 351, 305, 528, 738, 896.

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}.