Given numbers are 235,728,165,735,747

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

The LCM of 235,728,165,735,747 is 9840350520.

Find LCM of 235,728,165,735,747 with Prime Factorization

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

3 x 5 x 7 x 47 x 104 x 11 x 7 x 249 = 9840350520

Therefore, the lowest common multiple of 235,728,165,735,747 is 9840350520.

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.

235 x 728 x 165 x 735 x 747 = 15498552069000

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.

235 : 1, 5, 47, 235

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

165 : 1, 3, 5, 11, 15, 33, 55, 165

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

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,728,165,735,747, is 1.

Now, the common factors can be found like this.

235:5x 47

728:2x 2x 2x 7x 13

165:3x 5x 11

735:3x 5x 7x 7

747:3x 3x 83

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

3x 3x 5x 5x 7 = 1575

Therefore, the value for common factors is 1575.

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 = 15498552069000/(1x1575)

LCM = 15498552069000/1575

LCM = 9840350520

Thus, we can understand that the LCM of 235,728,165,735,747 is 9840350520.

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

• LCM of 571, 973, 297, 508, 788
• LCM of 630, 981, 555, 431, 929
• LCM of 767, 535, 375, 122, 805
• LCM of 800, 933, 110, 935, 408
• LCM of 346, 975, 106, 711, 609

1. What is the LCM of 235, 728, 165, 735, 747?

Answer: LCM of 235, 728, 165, 735, 747 is 9840350520.

2. How to calculate the LCM of 235, 728, 165, 735, 747?

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 235, 728, 165, 735, 747.

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}.