Given numbers are 414,114,128,686

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

The LCM of 414,114,128,686 is 172674432.

Find LCM of 414,114,128,686 with Prime Factorization

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

2 x 3 x 69 x 19 x 64 x 343 = 172674432

Therefore, the lowest common multiple of 414,114,128,686 is 172674432.

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.

414 x 114 x 128 x 686 = 4144186368

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

114 : 1, 2, 3, 6, 19, 38, 57, 114

128 : 1, 2, 4, 8, 16, 32, 64, 128

686 : 1, 2, 7, 14, 49, 98, 343, 686

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,114,128,686, is 2.

Now, the common factors can be found like this.

414:2x 3x 3x 23

114:2x 3x 19

128:2x 2x 2x 2x 2x 2x 2

686:2x 7x 7x 7

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 3 = 12

Therefore, the value for common factors is 12.

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 = 4144186368/(2x12)

LCM = 4144186368/24

LCM = 172674432

Thus, we can understand that the LCM of 414,114,128,686 is 172674432.

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

• LCM of 782, 993, 253, 430
• LCM of 923, 121, 624, 156
• LCM of 240, 481, 321, 339
• LCM of 182, 240, 362, 362
• LCM of 942, 770, 594, 800

1. What is the LCM of 414, 114, 128, 686?

Answer: LCM of 414, 114, 128, 686 is 172674432.

2. How to calculate the LCM of 414, 114, 128, 686?

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 414, 114, 128, 686.

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}.