Given numbers are 735,654,135,303,997

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

The LCM of 735,654,135,303,997 is 145212122790.

Find LCM of 735,654,135,303,997 with Prime Factorization

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

3 x 5 x 49 x 218 x 9 x 101 x 997 = 145212122790

Therefore, the lowest common multiple of 735,654,135,303,997 is 145212122790.

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 654 x 135 x 303 x 997 = 19603636576650

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

654 : 1, 2, 3, 6, 109, 218, 327, 654

135 : 1, 3, 5, 9, 15, 27, 45, 135

303 : 1, 3, 101, 303

997 : 1, 997

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,654,135,303,997, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

654:2x 3x 109

135:3x 3x 3x 5

303:3x 101

997:997

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 3x 5 = 135

Therefore, the value for common factors is 135.

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 = 19603636576650/(1x135)

LCM = 19603636576650/135

LCM = 145212122790

Thus, we can understand that the LCM of 735,654,135,303,997 is 145212122790.

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

• LCM of 557, 603, 837, 404, 269
• LCM of 462, 630, 676, 527, 287
• LCM of 903, 396, 396, 380, 120
• LCM of 205, 742, 933, 785, 843
• LCM of 561, 565, 171, 100, 175

1. What is the LCM of 735, 654, 135, 303, 997?

Answer: LCM of 735, 654, 135, 303, 997 is 145212122790.

2. How to calculate the LCM of 735, 654, 135, 303, 997?

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, 654, 135, 303, 997.

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}.