Given numbers are 506,174,624,431,670

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

The LCM of 506,174,624,431,670 is 661036112880.

Find LCM of 506,174,624,431,670 with Prime Factorization

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

2 x 3 x 253 x 29 x 104 x 431 x 335 = 661036112880

Therefore, the lowest common multiple of 506,174,624,431,670 is 661036112880.

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.

506 x 174 x 624 x 431 x 670 = 15864866709120

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

431 : 1, 431

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,174,624,431,670, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

174:2x 3x 29

624:2x 2x 2x 2x 3x 13

431:431

670:2x 5x 67

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 = 15864866709120/(1x24)

LCM = 15864866709120/24

LCM = 661036112880

Thus, we can understand that the LCM of 506,174,624,431,670 is 661036112880.

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

• LCM of 545, 545, 932, 416, 639
• LCM of 271, 562, 731, 329, 245
• LCM of 730, 465, 372, 540, 427
• LCM of 179, 764, 998, 960, 299
• LCM of 521, 573, 740, 748, 621

1. What is the LCM of 506, 174, 624, 431, 670?

Answer: LCM of 506, 174, 624, 431, 670 is 661036112880.

2. How to calculate the LCM of 506, 174, 624, 431, 670?

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 506, 174, 624, 431, 670.

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}.