Given numbers are 678,974,454,971,397

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

The LCM of 678,974,454,971,397 is 28893107202114.

Find LCM of 678,974,454,971,397 with Prime Factorization

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

2 x 339 x 487 x 227 x 971 x 397 = 28893107202114

Therefore, the lowest common multiple of 678,974,454,971,397 is 28893107202114.

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.

678 x 974 x 454 x 971 x 397 = 115572428808456

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

974 : 1, 2, 487, 974

454 : 1, 2, 227, 454

971 : 1, 971

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,974,454,971,397, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

974:2x 487

454:2x 227

971:971

397:397

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 115572428808456/(1x4)

LCM = 115572428808456/4

LCM = 28893107202114

Thus, we can understand that the LCM of 678,974,454,971,397 is 28893107202114.

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

• LCM of 460, 707, 182, 516, 315
• LCM of 385, 626, 881, 832, 272
• LCM of 339, 207, 259, 274, 666
• LCM of 258, 148, 415, 886, 432
• LCM of 263, 989, 632, 406, 903

1. What is the LCM of 678, 974, 454, 971, 397?

Answer: LCM of 678, 974, 454, 971, 397 is 28893107202114.

2. How to calculate the LCM of 678, 974, 454, 971, 397?

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 678, 974, 454, 971, 397.

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}.