Given numbers are 690,418,944,326,828

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

The LCM of 690,418,944,326,828 is 33284821680.

Find LCM of 690,418,944,326,828 with Prime Factorization

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

2 x 2 x 3 x 23 x 5 x 209 x 236 x 163 x 3 = 33284821680

Therefore, the lowest common multiple of 690,418,944,326,828 is 33284821680.

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 418 x 944 x 326 x 828 = 73492886269440

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

326 : 1, 2, 163, 326

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,418,944,326,828, is 2.

Now, the common factors can be found like this.

690:2x 3x 5x 23

418:2x 11x 19

944:2x 2x 2x 2x 59

326:2x 163

828:2x 2x 3x 3x 23

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 2x 3x 23 = 1104

Therefore, the value for common factors is 1104.

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 = 73492886269440/(2x1104)

LCM = 73492886269440/2208

LCM = 33284821680

Thus, we can understand that the LCM of 690,418,944,326,828 is 33284821680.

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

• LCM of 150, 399, 891, 463, 256
• LCM of 398, 140, 244, 787, 540
• LCM of 145, 584, 324, 737, 264
• LCM of 737, 549, 742, 159, 927
• LCM of 402, 856, 968, 571, 865

1. What is the LCM of 690, 418, 944, 326, 828?

Answer: LCM of 690, 418, 944, 326, 828 is 33284821680.

2. How to calculate the LCM of 690, 418, 944, 326, 828?

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, 418, 944, 326, 828.

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}.