Given numbers are 690,612,818,113,974

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

The LCM of 690,612,818,113,974 is 1584090448020.

Find LCM of 690,612,818,113,974 with Prime Factorization

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

2 x 3 x 115 x 102 x 409 x 113 x 487 = 1584090448020

Therefore, the lowest common multiple of 690,612,818,113,974 is 1584090448020.

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.

690 x 612 x 818 x 113 x 974 = 38018170752480

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.

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

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

818 : 1, 2, 409, 818

113 : 1, 113

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,612,818,113,974, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

612:2x 2x 3x 3x 17

818:2x 409

113:113

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 = 38018170752480/(1x24)

LCM = 38018170752480/24

LCM = 1584090448020

Thus, we can understand that the LCM of 690,612,818,113,974 is 1584090448020.

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

• LCM of 292, 410, 202, 327, 578
• LCM of 890, 260, 120, 237, 462
• LCM of 593, 141, 510, 642, 263
• LCM of 578, 117, 189, 189, 179
• LCM of 962, 973, 690, 737, 926

1. What is the LCM of 690, 612, 818, 113, 974?

Answer: LCM of 690, 612, 818, 113, 974 is 1584090448020.

2. How to calculate the LCM of 690, 612, 818, 113, 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 690, 612, 818, 113, 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}.