Given numbers are 698,780,306,319

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

The LCM of 698,780,306,319 is 4428747180.

Find LCM of 698,780,306,319 with Prime Factorization

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

2 x 3 x 349 x 130 x 51 x 319 = 4428747180

Therefore, the lowest common multiple of 698,780,306,319 is 4428747180.

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.

698 x 780 x 306 x 319 = 53144966160

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.

698 : 1, 2, 349, 698

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,780,306,319, is 1.

Now, the common factors can be found like this.

698:2x 349

780:2x 2x 3x 5x 13

306:2x 3x 3x 17

319:11x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 53144966160/(1x12)

LCM = 53144966160/12

LCM = 4428747180

Thus, we can understand that the LCM of 698,780,306,319 is 4428747180.

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

• LCM of 461, 538, 686, 478
• LCM of 460, 916, 520, 298
• LCM of 412, 720, 991, 721
• LCM of 342, 532, 236, 866
• LCM of 608, 682, 354, 828

1. What is the LCM of 698, 780, 306, 319?

Answer: LCM of 698, 780, 306, 319 is 4428747180.

2. How to calculate the LCM of 698, 780, 306, 319?

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 698, 780, 306, 319.

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}.