Given numbers are 312,980,351,698,468

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

The LCM of 312,980,351,698,468 is 240098040.

Find LCM of 312,980,351,698,468 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 2 x 245 x 1 x 349 x 3 = 240098040

Therefore, the lowest common multiple of 312,980,351,698,468 is 240098040.

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.

312 x 980 x 351 x 698 x 468 = 35058155408640

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

351 : 1, 3, 9, 13, 27, 39, 117, 351

698 : 1, 2, 349, 698

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,980,351,698,468, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

980:2x 2x 5x 7x 7

351:3x 3x 3x 13

698:2x 349

468:2x 2x 3x 3x 13

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 3x 3x 3x 13x 13 = 146016

Therefore, the value for common factors is 146016.

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 = 35058155408640/(1x146016)

LCM = 35058155408640/146016

LCM = 240098040

Thus, we can understand that the LCM of 312,980,351,698,468 is 240098040.

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

• LCM of 511, 692, 427, 930, 389
• LCM of 365, 663, 381, 924, 702
• LCM of 779, 127, 670, 757, 731
• LCM of 693, 374, 651, 925, 331
• LCM of 970, 266, 936, 625, 141

1. What is the LCM of 312, 980, 351, 698, 468?

Answer: LCM of 312, 980, 351, 698, 468 is 240098040.

2. How to calculate the LCM of 312, 980, 351, 698, 468?

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 312, 980, 351, 698, 468.

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}.