Given numbers are 828,318,536,142,742

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

The LCM of 828,318,536,142,742 is 2922586632.

Find LCM of 828,318,536,142,742 with Prime Factorization

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

2 x 2 x 3 x 53 x 69 x 1 x 134 x 71 x 7 = 2922586632

Therefore, the lowest common multiple of 828,318,536,142,742 is 2922586632.

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 318 x 536 x 142 x 742 = 14870120783616

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

318 : 1, 2, 3, 6, 53, 106, 159, 318

536 : 1, 2, 4, 8, 67, 134, 268, 536

142 : 1, 2, 71, 142

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,318,536,142,742, is 2.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

318:2x 3x 53

536:2x 2x 2x 67

142:2x 71

742:2x 7x 53

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 53 = 2544

Therefore, the value for common factors is 2544.

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 = 14870120783616/(2x2544)

LCM = 14870120783616/5088

LCM = 2922586632

Thus, we can understand that the LCM of 828,318,536,142,742 is 2922586632.

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

• LCM of 356, 945, 552, 617, 779
• LCM of 300, 945, 691, 301, 695
• LCM of 880, 124, 694, 403, 773
• LCM of 196, 831, 289, 175, 796
• LCM of 431, 828, 829, 604, 342

1. What is the LCM of 828, 318, 536, 142, 742?

Answer: LCM of 828, 318, 536, 142, 742 is 2922586632.

2. How to calculate the LCM of 828, 318, 536, 142, 742?

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, 318, 536, 142, 742.

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}.