Given numbers are 735,202,285,327,320

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

The LCM of 735,202,285,327,320 is 9839403840.

Find LCM of 735,202,285,327,320 with Prime Factorization

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

2 x 3 x 5 x 49 x 101 x 19 x 109 x 32 = 9839403840

Therefore, the lowest common multiple of 735,202,285,327,320 is 9839403840.

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 202 x 285 x 327 x 320 = 4427731728000

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

202 : 1, 2, 101, 202

285 : 1, 3, 5, 15, 19, 57, 95, 285

327 : 1, 3, 109, 327

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,202,285,327,320, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

202:2x 101

285:3x 5x 19

327:3x 109

320:2x 2x 2x 2x 2x 2x 5

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

2x 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 4427731728000/(1x450)

LCM = 4427731728000/450

LCM = 9839403840

Thus, we can understand that the LCM of 735,202,285,327,320 is 9839403840.

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

• LCM of 183, 575, 534, 566, 390
• LCM of 126, 376, 647, 494, 955
• LCM of 165, 356, 728, 254, 167
• LCM of 609, 157, 954, 265, 757
• LCM of 105, 447, 222, 531, 501

1. What is the LCM of 735, 202, 285, 327, 320?

Answer: LCM of 735, 202, 285, 327, 320 is 9839403840.

2. How to calculate the LCM of 735, 202, 285, 327, 320?

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, 202, 285, 327, 320.

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}.