Given numbers are 505,433,966,988,752

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

The LCM of 505,433,966,988,752 is 19617388780080.

Find LCM of 505,433,966,988,752 with Prime Factorization

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

2 x 2 x 505 x 433 x 483 x 247 x 188 = 19617388780080

Therefore, the lowest common multiple of 505,433,966,988,752 is 19617388780080.

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.

505 x 433 x 966 x 988 x 752 = 156939110240640

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.

505 : 1, 5, 101, 505

433 : 1, 433

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,433,966,988,752, is 1.

Now, the common factors can be found like this.

505:5x 101

433:433

966:2x 3x 7x 23

988:2x 2x 13x 19

752:2x 2x 2x 2x 47

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 2 = 8

Therefore, the value for common factors is 8.

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 = 156939110240640/(1x8)

LCM = 156939110240640/8

LCM = 19617388780080

Thus, we can understand that the LCM of 505,433,966,988,752 is 19617388780080.

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

• LCM of 649, 622, 550, 492, 276
• LCM of 188, 466, 565, 483, 991
• LCM of 303, 829, 277, 997, 435
• LCM of 275, 215, 773, 223, 871
• LCM of 846, 973, 874, 823, 250

1. What is the LCM of 505, 433, 966, 988, 752?

Answer: LCM of 505, 433, 966, 988, 752 is 19617388780080.

2. How to calculate the LCM of 505, 433, 966, 988, 752?

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 505, 433, 966, 988, 752.

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}.