Given numbers are 738,517,176,678,924

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

The LCM of 738,517,176,678,924 is 2414423088.

Find LCM of 738,517,176,678,924 with Prime Factorization

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

2 x 2 x 3 x 11 x 123 x 47 x 4 x 113 x 7 = 2414423088

Therefore, the lowest common multiple of 738,517,176,678,924 is 2414423088.

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.

738 x 517 x 176 x 678 x 924 = 42068907885312

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

517 : 1, 11, 47, 517

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

678 : 1, 2, 3, 6, 113, 226, 339, 678

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,517,176,678,924, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

517:11x 47

176:2x 2x 2x 2x 11

678:2x 3x 113

924:2x 2x 3x 7x 11

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 11x 11 = 17424

Therefore, the value for common factors is 17424.

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 = 42068907885312/(1x17424)

LCM = 42068907885312/17424

LCM = 2414423088

Thus, we can understand that the LCM of 738,517,176,678,924 is 2414423088.

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

• LCM of 169, 851, 745, 332, 299
• LCM of 293, 640, 698, 877, 452
• LCM of 275, 606, 706, 925, 892
• LCM of 357, 501, 679, 813, 698
• LCM of 370, 933, 209, 781, 687

1. What is the LCM of 738, 517, 176, 678, 924?

Answer: LCM of 738, 517, 176, 678, 924 is 2414423088.

2. How to calculate the LCM of 738, 517, 176, 678, 924?

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 738, 517, 176, 678, 924.

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}.