Given numbers are 828,690,381,510

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

The LCM of 828,690,381,510 is 8938260.

Find LCM of 828,690,381,510 with Prime Factorization

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

2 x 3 x 5 x 23 x 6 x 1 x 127 x 17 = 8938260

Therefore, the lowest common multiple of 828,690,381,510 is 8938260.

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 690 x 381 x 510 = 111013189200

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

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

381 : 1, 3, 127, 381

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,690,381,510, is 3.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

690:2x 3x 5x 23

381:3x 127

510:2x 3x 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 3x 3x 5x 23 = 4140

Therefore, the value for common factors is 4140.

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 = 111013189200/(3x4140)

LCM = 111013189200/12420

LCM = 8938260

Thus, we can understand that the LCM of 828,690,381,510 is 8938260.

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

• LCM of 215, 863, 950, 356
• LCM of 816, 624, 960, 194
• LCM of 962, 882, 227, 829
• LCM of 787, 336, 551, 126
• LCM of 391, 932, 857, 133

1. What is the LCM of 828, 690, 381, 510?

Answer: LCM of 828, 690, 381, 510 is 8938260.

2. How to calculate the LCM of 828, 690, 381, 510?

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, 690, 381, 510.

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}.