Given numbers are 309,706,214,760

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

The LCM of 309,706,214,760 is 8870141640.

Find LCM of 309,706,214,760 with Prime Factorization

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

2 x 309 x 353 x 107 x 380 = 8870141640

Therefore, the lowest common multiple of 309,706,214,760 is 8870141640.

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.

309 x 706 x 214 x 760 = 35480566560

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.

309 : 1, 3, 103, 309

706 : 1, 2, 353, 706

214 : 1, 2, 107, 214

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,706,214,760, is 1.

Now, the common factors can be found like this.

309:3x 103

706:2x 353

214:2x 107

760:2x 2x 2x 5x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 35480566560/(1x4)

LCM = 35480566560/4

LCM = 8870141640

Thus, we can understand that the LCM of 309,706,214,760 is 8870141640.

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

• LCM of 241, 287, 132, 602
• LCM of 158, 709, 103, 485
• LCM of 244, 977, 123, 996
• LCM of 718, 559, 175, 642
• LCM of 134, 230, 428, 118

1. What is the LCM of 309, 706, 214, 760?

Answer: LCM of 309, 706, 214, 760 is 8870141640.

2. How to calculate the LCM of 309, 706, 214, 760?

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 309, 706, 214, 760.

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}.