Given numbers are 972,629,232,114,540

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

The LCM of 972,629,232,114,540 is 3368747880.

Find LCM of 972,629,232,114,540 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 9 x 629 x 58 x 19 x 5 = 3368747880

Therefore, the lowest common multiple of 972,629,232,114,540 is 3368747880.

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.

972 x 629 x 232 x 114 x 540 = 8731794504960

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

629 : 1, 17, 37, 629

232 : 1, 2, 4, 8, 29, 58, 116, 232

114 : 1, 2, 3, 6, 19, 38, 57, 114

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,629,232,114,540, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

629:17x 37

232:2x 2x 2x 29

114:2x 3x 19

540:2x 2x 3x 3x 3x 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 2x 2x 2x 2x 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 8731794504960/(1x2592)

LCM = 8731794504960/2592

LCM = 3368747880

Thus, we can understand that the LCM of 972,629,232,114,540 is 3368747880.

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

• LCM of 680, 525, 721, 624, 343
• LCM of 595, 932, 522, 361, 737
• LCM of 408, 596, 973, 593, 479
• LCM of 839, 847, 384, 266, 446
• LCM of 577, 151, 442, 593, 391

1. What is the LCM of 972, 629, 232, 114, 540?

Answer: LCM of 972, 629, 232, 114, 540 is 3368747880.

2. How to calculate the LCM of 972, 629, 232, 114, 540?

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 972, 629, 232, 114, 540.

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}.