Given numbers are 812,402,336,735,542

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

The LCM of 812,402,336,735,542 is 6192263280.

Find LCM of 812,402,336,735,542 with Prime Factorization

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

2 x 2 x 3 x 7 x 29 x 67 x 4 x 35 x 271 = 6192263280

Therefore, the lowest common multiple of 812,402,336,735,542 is 6192263280.

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.

812 x 402 x 336 x 735 x 542 = 43692609703680

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,402,336,735,542, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

402:2x 3x 67

336:2x 2x 2x 2x 3x 7

735:3x 5x 7x 7

542:2x 271

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 3x 7x 7 = 7056

Therefore, the value for common factors is 7056.

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 = 43692609703680/(1x7056)

LCM = 43692609703680/7056

LCM = 6192263280

Thus, we can understand that the LCM of 812,402,336,735,542 is 6192263280.

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

• LCM of 950, 697, 812, 523, 326
• LCM of 558, 436, 184, 914, 573
• LCM of 424, 218, 293, 561, 781
• LCM of 824, 824, 489, 663, 649
• LCM of 243, 695, 759, 336, 464

1. What is the LCM of 812, 402, 336, 735, 542?

Answer: LCM of 812, 402, 336, 735, 542 is 6192263280.

2. How to calculate the LCM of 812, 402, 336, 735, 542?

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 812, 402, 336, 735, 542.

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}.