Given numbers are 557,946,408,690,974

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

The LCM of 557,946,408,690,974 is 6020094388440.

Find LCM of 557,946,408,690,974 with Prime Factorization

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

2 x 3 x 557 x 473 x 68 x 115 x 487 = 6020094388440

Therefore, the lowest common multiple of 557,946,408,690,974 is 6020094388440.

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.

557 x 946 x 408 x 690 x 974 = 144482265322560

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.

557 : 1, 557

946 : 1, 2, 11, 22, 43, 86, 473, 946

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

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,946,408,690,974, is 1.

Now, the common factors can be found like this.

557:557

946:2x 11x 43

408:2x 2x 2x 3x 17

690:2x 3x 5x 23

974:2x 487

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 3 = 24

Therefore, the value for common factors is 24.

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 = 144482265322560/(1x24)

LCM = 144482265322560/24

LCM = 6020094388440

Thus, we can understand that the LCM of 557,946,408,690,974 is 6020094388440.

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

• LCM of 693, 341, 273, 956, 242
• LCM of 865, 493, 939, 607, 569
• LCM of 355, 584, 365, 397, 915
• LCM of 762, 186, 208, 894, 283
• LCM of 447, 463, 611, 242, 521

1. What is the LCM of 557, 946, 408, 690, 974?

Answer: LCM of 557, 946, 408, 690, 974 is 6020094388440.

2. How to calculate the LCM of 557, 946, 408, 690, 974?

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 557, 946, 408, 690, 974.

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}.