Given numbers are 762,438,670,120,414

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

The LCM of 762,438,670,120,414 is 5143179960.

Find LCM of 762,438,670,120,414 with Prime Factorization

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

2 x 3 x 5 x 127 x 73 x 67 x 4 x 69 = 5143179960

Therefore, the lowest common multiple of 762,438,670,120,414 is 5143179960.

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.

762 x 438 x 670 x 120 x 414 = 11109268713600

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

438 : 1, 2, 3, 6, 73, 146, 219, 438

670 : 1, 2, 5, 10, 67, 134, 335, 670

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,438,670,120,414, is 2.

Now, the common factors can be found like this.

762:2x 3x 127

438:2x 3x 73

670:2x 5x 67

120:2x 2x 2x 3x 5

414:2x 3x 3x 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 2x 2x 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 11109268713600/(2x1080)

LCM = 11109268713600/2160

LCM = 5143179960

Thus, we can understand that the LCM of 762,438,670,120,414 is 5143179960.

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

• LCM of 673, 520, 554, 783, 936
• LCM of 622, 432, 463, 388, 226
• LCM of 551, 278, 936, 433, 119
• LCM of 159, 727, 680, 493, 484
• LCM of 820, 173, 615, 488, 703

1. What is the LCM of 762, 438, 670, 120, 414?

Answer: LCM of 762, 438, 670, 120, 414 is 5143179960.

2. How to calculate the LCM of 762, 438, 670, 120, 414?

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 762, 438, 670, 120, 414.

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}.