Given numbers are 310,326,938,974

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

The LCM of 310,326,938,974 is 11541203590.

Find LCM of 310,326,938,974 with Prime Factorization

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

2 x 155 x 163 x 469 x 487 = 11541203590

Therefore, the lowest common multiple of 310,326,938,974 is 11541203590.

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.

310 x 326 x 938 x 974 = 92329628720

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

326 : 1, 2, 163, 326

938 : 1, 2, 7, 14, 67, 134, 469, 938

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,326,938,974, is 2.

Now, the common factors can be found like this.

310:2x 5x 31

326:2x 163

938:2x 7x 67

974:2x 487

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 = 92329628720/(2x4)

LCM = 92329628720/8

LCM = 11541203590

Thus, we can understand that the LCM of 310,326,938,974 is 11541203590.

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

• LCM of 853, 968, 739, 777
• LCM of 396, 984, 858, 759
• LCM of 882, 132, 777, 701
• LCM of 176, 194, 480, 858
• LCM of 914, 477, 592, 969

1. What is the LCM of 310, 326, 938, 974?

Answer: LCM of 310, 326, 938, 974 is 11541203590.

2. How to calculate the LCM of 310, 326, 938, 974?

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 310, 326, 938, 974.

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}.