Given numbers are 416,394,460,518,148

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

The LCM of 416,394,460,518,148 is 2440940320.

Find LCM of 416,394,460,518,148 with Prime Factorization

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

2 x 2 x 37 x 104 x 197 x 115 x 7 x 1 = 2440940320

Therefore, the lowest common multiple of 416,394,460,518,148 is 2440940320.

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.

416 x 394 x 460 x 518 x 148 = 5780146677760

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.

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

394 : 1, 2, 197, 394

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

518 : 1, 2, 7, 14, 37, 74, 259, 518

148 : 1, 2, 4, 37, 74, 148

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,394,460,518,148, is 2.

Now, the common factors can be found like this.

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

394:2x 197

460:2x 2x 5x 23

518:2x 7x 37

148:2x 2x 37

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 2x 2x 2x 37 = 1184

Therefore, the value for common factors is 1184.

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 = 5780146677760/(2x1184)

LCM = 5780146677760/2368

LCM = 2440940320

Thus, we can understand that the LCM of 416,394,460,518,148 is 2440940320.

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

• LCM of 689, 130, 326, 569, 809
• LCM of 615, 915, 590, 728, 115
• LCM of 520, 398, 789, 761, 784
• LCM of 366, 130, 448, 233, 390
• LCM of 498, 731, 870, 623, 131

1. What is the LCM of 416, 394, 460, 518, 148?

Answer: LCM of 416, 394, 460, 518, 148 is 2440940320.

2. How to calculate the LCM of 416, 394, 460, 518, 148?

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 416, 394, 460, 518, 148.

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}.