Given numbers are 309,112,321,970

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

The LCM of 309,112,321,970 is 1795982160.

Find LCM of 309,112,321,970 with Prime Factorization

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

2 x 3 x 103 x 56 x 107 x 485 = 1795982160

Therefore, the lowest common multiple of 309,112,321,970 is 1795982160.

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 112 x 321 x 970 = 10775892960

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

321 : 1, 3, 107, 321

970 : 1, 2, 5, 10, 97, 194, 485, 970

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,112,321,970, is 1.

Now, the common factors can be found like this.

309:3x 103

112:2x 2x 2x 2x 7

321:3x 107

970:2x 5x 97

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 10775892960/(1x6)

LCM = 10775892960/6

LCM = 1795982160

Thus, we can understand that the LCM of 309,112,321,970 is 1795982160.

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

• LCM of 116, 410, 764, 923
• LCM of 131, 325, 499, 920
• LCM of 501, 561, 930, 999
• LCM of 474, 332, 505, 858
• LCM of 978, 692, 611, 773

1. What is the LCM of 309, 112, 321, 970?

Answer: LCM of 309, 112, 321, 970 is 1795982160.

2. How to calculate the LCM of 309, 112, 321, 970?

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, 112, 321, 970.

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}.