Given numbers are 174,424,303,428

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

The LCM of 174,424,303,428 is 398648616.

Find LCM of 174,424,303,428 with Prime Factorization

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

2 x 2 x 3 x 29 x 106 x 101 x 107 = 398648616

Therefore, the lowest common multiple of 174,424,303,428 is 398648616.

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.

174 x 424 x 303 x 428 = 9567566784

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.

174 : 1, 2, 3, 6, 29, 58, 87, 174

424 : 1, 2, 4, 8, 53, 106, 212, 424

303 : 1, 3, 101, 303

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,424,303,428, is 1.

Now, the common factors can be found like this.

174:2x 3x 29

424:2x 2x 2x 53

303:3x 101

428:2x 2x 107

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 3 = 24

Therefore, the value for common factors is 24.

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 = 9567566784/(1x24)

LCM = 9567566784/24

LCM = 398648616

Thus, we can understand that the LCM of 174,424,303,428 is 398648616.

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

• LCM of 760, 840, 470, 661
• LCM of 345, 693, 125, 401
• LCM of 185, 692, 978, 758
• LCM of 466, 197, 537, 561
• LCM of 342, 596, 491, 968

1. What is the LCM of 174, 424, 303, 428?

Answer: LCM of 174, 424, 303, 428 is 398648616.

2. How to calculate the LCM of 174, 424, 303, 428?

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 174, 424, 303, 428.

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}.