Given numbers are 469,107,171,494

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

The LCM of 469,107,171,494 is 223113618.

Find LCM of 469,107,171,494 with Prime Factorization

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

19 x 469 x 107 x 9 x 26 = 223113618

Therefore, the lowest common multiple of 469,107,171,494 is 223113618.

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 107 x 171 x 494 = 4239158742

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

107 : 1, 107

171 : 1, 3, 9, 19, 57, 171

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,107,171,494, is 1.

Now, the common factors can be found like this.

469:7x 67

107:107

171:3x 3x 19

494:2x 13x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 4239158742/(1x19)

LCM = 4239158742/19

LCM = 223113618

Thus, we can understand that the LCM of 469,107,171,494 is 223113618.

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

• LCM of 851, 465, 501, 388
• LCM of 868, 700, 335, 112
• LCM of 654, 411, 709, 542
• LCM of 578, 523, 248, 216
• LCM of 827, 171, 554, 789

1. What is the LCM of 469, 107, 171, 494?

Answer: LCM of 469, 107, 171, 494 is 223113618.

2. How to calculate the LCM of 469, 107, 171, 494?

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, 107, 171, 494.

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}.