Given numbers are 828,724,364,971,680

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

The LCM of 828,724,364,971,680 is 2251222679160.

Find LCM of 828,724,364,971,680 with Prime Factorization

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

2 x 2 x 207 x 181 x 91 x 971 x 170 = 2251222679160

Therefore, the lowest common multiple of 828,724,364,971,680 is 2251222679160.

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.

828 x 724 x 364 x 971 x 680 = 144078251466240

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.

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

724 : 1, 2, 4, 181, 362, 724

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

971 : 1, 971

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,724,364,971,680, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

724:2x 2x 181

364:2x 2x 7x 13

971:971

680:2x 2x 2x 5x 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 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 144078251466240/(1x64)

LCM = 144078251466240/64

LCM = 2251222679160

Thus, we can understand that the LCM of 828,724,364,971,680 is 2251222679160.

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

• LCM of 318, 391, 152, 854, 167
• LCM of 174, 673, 315, 100, 383
• LCM of 298, 427, 202, 601, 105
• LCM of 135, 346, 429, 579, 691
• LCM of 992, 791, 733, 320, 481

1. What is the LCM of 828, 724, 364, 971, 680?

Answer: LCM of 828, 724, 364, 971, 680 is 2251222679160.

2. How to calculate the LCM of 828, 724, 364, 971, 680?

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 828, 724, 364, 971, 680.

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}.