Given numbers are 972,408,951,843,335

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

The LCM of 972,408,951,843,335 is 986178593160.

Find LCM of 972,408,951,843,335 with Prime Factorization

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

2 x 2 x 3 x 81 x 34 x 317 x 281 x 335 = 986178593160

Therefore, the lowest common multiple of 972,408,951,843,335 is 986178593160.

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 408 x 951 x 843 x 335 = 106507288061280

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

951 : 1, 3, 317, 951

843 : 1, 3, 281, 843

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,408,951,843,335, is 1.

Now, the common factors can be found like this.

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

408:2x 2x 2x 3x 17

951:3x 317

843:3x 281

335:5x 67

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 106507288061280/(1x108)

LCM = 106507288061280/108

LCM = 986178593160

Thus, we can understand that the LCM of 972,408,951,843,335 is 986178593160.

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

• LCM of 377, 773, 628, 723, 579
• LCM of 134, 460, 791, 560, 600
• LCM of 384, 130, 149, 530, 937
• LCM of 243, 741, 565, 597, 674
• LCM of 130, 762, 196, 972, 260

1. What is the LCM of 972, 408, 951, 843, 335?

Answer: LCM of 972, 408, 951, 843, 335 is 986178593160.

2. How to calculate the LCM of 972, 408, 951, 843, 335?

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, 408, 951, 843, 335.

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}.