Given numbers are 938,410,416,23

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

The LCM of 938,410,416,23 is 919915360.

Find LCM of 938,410,416,23 with Prime Factorization

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

2 x 469 x 205 x 208 x 23 = 919915360

Therefore, the lowest common multiple of 938,410,416,23 is 919915360.

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.

938 x 410 x 416 x 23 = 3679661440

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.

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

410 : 1, 2, 5, 10, 41, 82, 205, 410

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

23 : 1, 23

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,410,416,23, is 1.

Now, the common factors can be found like this.

938:2x 7x 67

410:2x 5x 41

416:2x 2x 2x 2x 2x 13

23:23

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 = 3679661440/(1x4)

LCM = 3679661440/4

LCM = 919915360

Thus, we can understand that the LCM of 938,410,416,23 is 919915360.

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

• LCM of 494, 994, 986, 25
• LCM of 231, 551, 188, 26
• LCM of 541, 625, 752, 50
• LCM of 996, 926, 898, 83
• LCM of 467, 622, 196, 23

1. What is the LCM of 938, 410, 416, 23?

Answer: LCM of 938, 410, 416, 23 is 919915360.

2. How to calculate the LCM of 938, 410, 416, 23?

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 938, 410, 416, 23.

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}.