Given numbers are 972,202,412,436,712

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

The LCM of 972,202,412,436,712 is 196187513832.

Find LCM of 972,202,412,436,712 with Prime Factorization

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

2 x 2 x 243 x 101 x 103 x 109 x 178 = 196187513832

Therefore, the lowest common multiple of 972,202,412,436,712 is 196187513832.

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 202 x 412 x 436 x 712 = 25112001770496

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

202 : 1, 2, 101, 202

412 : 1, 2, 4, 103, 206, 412

436 : 1, 2, 4, 109, 218, 436

712 : 1, 2, 4, 8, 89, 178, 356, 712

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,202,412,436,712, is 2.

Now, the common factors can be found like this.

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

202:2x 101

412:2x 2x 103

436:2x 2x 109

712:2x 2x 2x 89

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 2 = 64

Therefore, the value for common factors is 64.

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 = 25112001770496/(2x64)

LCM = 25112001770496/128

LCM = 196187513832

Thus, we can understand that the LCM of 972,202,412,436,712 is 196187513832.

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

• LCM of 792, 720, 295, 462, 630
• LCM of 247, 617, 338, 484, 631
• LCM of 258, 445, 166, 414, 994
• LCM of 628, 593, 511, 820, 494
• LCM of 866, 631, 926, 781, 777

1. What is the LCM of 972, 202, 412, 436, 712?

Answer: LCM of 972, 202, 412, 436, 712 is 196187513832.

2. How to calculate the LCM of 972, 202, 412, 436, 712?

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, 202, 412, 436, 712.

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}.