Given numbers are 469,680,407,102

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

The LCM of 469,680,407,102 is 389401320.

Find LCM of 469,680,407,102 with Prime Factorization

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

2 x 17 x 469 x 20 x 407 x 3 = 389401320

Therefore, the lowest common multiple of 469,680,407,102 is 389401320.

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.

469 x 680 x 407 x 102 = 13239644880

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.

469 : 1, 7, 67, 469

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

407 : 1, 11, 37, 407

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,680,407,102, is 1.

Now, the common factors can be found like this.

469:7x 67

680:2x 2x 2x 5x 17

407:11x 37

102:2x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 13239644880/(1x34)

LCM = 13239644880/34

LCM = 389401320

Thus, we can understand that the LCM of 469,680,407,102 is 389401320.

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

• LCM of 389, 379, 120, 783
• LCM of 681, 258, 964, 983
• LCM of 872, 856, 428, 840
• LCM of 545, 978, 107, 215
• LCM of 611, 563, 900, 820

1. What is the LCM of 469, 680, 407, 102?

Answer: LCM of 469, 680, 407, 102 is 389401320.

2. How to calculate the LCM of 469, 680, 407, 102?

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 469, 680, 407, 102.

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}.