Given numbers are 509,189,651,406

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

The LCM of 509,189,651,406 is 172969398.

Find LCM of 509,189,651,406 with Prime Factorization

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

3 x 7 x 509 x 9 x 31 x 58 = 172969398

Therefore, the lowest common multiple of 509,189,651,406 is 172969398.

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.

509 x 189 x 651 x 406 = 25426501506

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.

509 : 1, 509

189 : 1, 3, 7, 9, 21, 27, 63, 189

651 : 1, 3, 7, 21, 31, 93, 217, 651

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,189,651,406, is 1.

Now, the common factors can be found like this.

509:509

189:3x 3x 3x 7

651:3x 7x 31

406:2x 7x 29

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

3x 7x 7 = 147

Therefore, the value for common factors is 147.

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 = 25426501506/(1x147)

LCM = 25426501506/147

LCM = 172969398

Thus, we can understand that the LCM of 509,189,651,406 is 172969398.

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

• LCM of 257, 258, 109, 836
• LCM of 338, 171, 533, 888
• LCM of 648, 433, 338, 494
• LCM of 791, 674, 561, 695
• LCM of 860, 191, 635, 646

1. What is the LCM of 509, 189, 651, 406?

Answer: LCM of 509, 189, 651, 406 is 172969398.

2. How to calculate the LCM of 509, 189, 651, 406?

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 509, 189, 651, 406.

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}.