Given numbers are 392,308,769,910,506

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

The LCM of 392,308,769,910,506 is 4957312360.

Find LCM of 392,308,769,910,506 with Prime Factorization

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

2 x 2 x 7 x 11 x 14 x 1 x 769 x 65 x 23 = 4957312360

Therefore, the lowest common multiple of 392,308,769,910,506 is 4957312360.

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.

392 x 308 x 769 x 910 x 506 = 42751861792640

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

769 : 1, 769

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,308,769,910,506, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

308:2x 2x 7x 11

769:769

910:2x 5x 7x 13

506:2x 11x 23

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 = 42751861792640/(1x8624)

LCM = 42751861792640/8624

LCM = 4957312360

Thus, we can understand that the LCM of 392,308,769,910,506 is 4957312360.

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

• LCM of 390, 675, 721, 833, 154
• LCM of 503, 965, 588, 285, 500
• LCM of 870, 380, 508, 349, 269
• LCM of 434, 274, 809, 183, 284
• LCM of 577, 603, 333, 516, 897

1. What is the LCM of 392, 308, 769, 910, 506?

Answer: LCM of 392, 308, 769, 910, 506 is 4957312360.

2. How to calculate the LCM of 392, 308, 769, 910, 506?

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 392, 308, 769, 910, 506.

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}.