Given numbers are 972,424,122,865,493

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

The LCM of 972,424,122,865,493 is 2680186355640.

Find LCM of 972,424,122,865,493 with Prime Factorization

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

2 x 2 x 243 x 106 x 61 x 865 x 493 = 2680186355640

Therefore, the lowest common multiple of 972,424,122,865,493 is 2680186355640.

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 424 x 122 x 865 x 493 = 21441490845120

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

424 : 1, 2, 4, 8, 53, 106, 212, 424

122 : 1, 2, 61, 122

865 : 1, 5, 173, 865

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,424,122,865,493, is 1.

Now, the common factors can be found like this.

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

424:2x 2x 2x 53

122:2x 61

865:5x 173

493:17x 29

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 = 21441490845120/(1x8)

LCM = 21441490845120/8

LCM = 2680186355640

Thus, we can understand that the LCM of 972,424,122,865,493 is 2680186355640.

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

• LCM of 586, 278, 128, 606, 206
• LCM of 529, 611, 243, 611, 103
• LCM of 690, 821, 416, 568, 133
• LCM of 931, 653, 658, 265, 839
• LCM of 646, 869, 993, 895, 257

1. What is the LCM of 972, 424, 122, 865, 493?

Answer: LCM of 972, 424, 122, 865, 493 is 2680186355640.

2. How to calculate the LCM of 972, 424, 122, 865, 493?

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, 424, 122, 865, 493.

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}.