Given numbers are 676,760,514,520,924

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

The LCM of 676,760,514,520,924 is 7625097480.

Find LCM of 676,760,514,520,924 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 1 x 19 x 257 x 13 x 231 = 7625097480

Therefore, the lowest common multiple of 676,760,514,520,924 is 7625097480.

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.

676 x 760 x 514 x 520 x 924 = 126881622067200

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

514 : 1, 2, 257, 514

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,760,514,520,924, is 2.

Now, the common factors can be found like this.

676:2x 2x 13x 13

760:2x 2x 2x 5x 19

514:2x 257

520:2x 2x 2x 5x 13

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 2x 2x 2x 5x 13 = 8320

Therefore, the value for common factors is 8320.

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 = 126881622067200/(2x8320)

LCM = 126881622067200/16640

LCM = 7625097480

Thus, we can understand that the LCM of 676,760,514,520,924 is 7625097480.

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

• LCM of 396, 833, 698, 503, 913
• LCM of 341, 822, 985, 430, 162
• LCM of 873, 560, 874, 130, 843
• LCM of 535, 498, 634, 229, 314
• LCM of 140, 383, 145, 395, 179

1. What is the LCM of 676, 760, 514, 520, 924?

Answer: LCM of 676, 760, 514, 520, 924 is 7625097480.

2. How to calculate the LCM of 676, 760, 514, 520, 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 676, 760, 514, 520, 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}.