Given numbers are 756,242,616,812

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

The LCM of 756,242,616,812 is 5305608.

Find LCM of 756,242,616,812 with Prime Factorization

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

2 x 2 x 7 x 11 x 27 x 11 x 2 x 29 = 5305608

Therefore, the lowest common multiple of 756,242,616,812 is 5305608.

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.

756 x 242 x 616 x 812 = 91511126784

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

242 : 1, 2, 11, 22, 121, 242

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,242,616,812, is 2.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

242:2x 11x 11

616:2x 2x 2x 7x 11

812:2x 2x 7x 29

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 7x 7x 11 = 8624

Therefore, the value for common factors is 8624.

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 = 91511126784/(2x8624)

LCM = 91511126784/17248

LCM = 5305608

Thus, we can understand that the LCM of 756,242,616,812 is 5305608.

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

• LCM of 862, 142, 702, 909
• LCM of 754, 260, 304, 423
• LCM of 105, 878, 270, 212
• LCM of 980, 770, 276, 983
• LCM of 978, 793, 476, 240

1. What is the LCM of 756, 242, 616, 812?

Answer: LCM of 756, 242, 616, 812 is 5305608.

2. How to calculate the LCM of 756, 242, 616, 812?

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 756, 242, 616, 812.

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}.