Given numbers are 617,680,816,357

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

The LCM of 617,680,816,357 is 17621520.

Find LCM of 617,680,816,357 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 617 x 5 x 2 x 7 = 17621520

Therefore, the lowest common multiple of 617,680,816,357 is 17621520.

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.

617 x 680 x 816 x 357 = 122222862720

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.

617 : 1, 617

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,680,816,357, is 1.

Now, the common factors can be found like this.

617:617

680:2x 2x 2x 5x 17

816:2x 2x 2x 2x 3x 17

357:3x 7x 17

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 3x 17x 17 = 6936

Therefore, the value for common factors is 6936.

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 = 122222862720/(1x6936)

LCM = 122222862720/6936

LCM = 17621520

Thus, we can understand that the LCM of 617,680,816,357 is 17621520.

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

• LCM of 121, 790, 753, 673
• LCM of 240, 799, 263, 957
• LCM of 576, 914, 918, 561
• LCM of 303, 308, 613, 345
• LCM of 108, 923, 914, 176

1. What is the LCM of 617, 680, 816, 357?

Answer: LCM of 617, 680, 816, 357 is 17621520.

2. How to calculate the LCM of 617, 680, 816, 357?

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 617, 680, 816, 357.

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}.