Given numbers are 402,828,758,716

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

The LCM of 402,828,758,716 is 3763547316.

Find LCM of 402,828,758,716 with Prime Factorization

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

2 x 2 x 3 x 67 x 69 x 379 x 179 = 3763547316

Therefore, the lowest common multiple of 402,828,758,716 is 3763547316.

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.

402 x 828 x 758 x 716 = 180650271168

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

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

758 : 1, 2, 379, 758

716 : 1, 2, 4, 179, 358, 716

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,828,758,716, is 2.

Now, the common factors can be found like this.

402:2x 3x 67

828:2x 2x 3x 3x 23

758:2x 379

716:2x 2x 179

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 = 180650271168/(2x24)

LCM = 180650271168/48

LCM = 3763547316

Thus, we can understand that the LCM of 402,828,758,716 is 3763547316.

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

• LCM of 509, 211, 123, 650
• LCM of 623, 538, 976, 479
• LCM of 525, 670, 902, 432
• LCM of 657, 906, 554, 775
• LCM of 928, 856, 411, 254

1. What is the LCM of 402, 828, 758, 716?

Answer: LCM of 402, 828, 758, 716 is 3763547316.

2. How to calculate the LCM of 402, 828, 758, 716?

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 402, 828, 758, 716.

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}.