Given numbers are 430,531,239,720,204

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

The LCM of 430,531,239,720,204 is 7421638320.

Find LCM of 430,531,239,720,204 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 43 x 59 x 239 x 4 x 17 = 7421638320

Therefore, the lowest common multiple of 430,531,239,720,204 is 7421638320.

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.

430 x 531 x 239 x 720 x 204 = 8015369385600

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.

430 : 1, 2, 5, 10, 43, 86, 215, 430

531 : 1, 3, 9, 59, 177, 531

239 : 1, 239

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,531,239,720,204, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

531:3x 3x 59

239:239

720:2x 2x 2x 2x 3x 3x 5

204:2x 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 2x 2x 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 8015369385600/(1x1080)

LCM = 8015369385600/1080

LCM = 7421638320

Thus, we can understand that the LCM of 430,531,239,720,204 is 7421638320.

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

• LCM of 651, 682, 947, 871, 116
• LCM of 965, 835, 990, 832, 800
• LCM of 111, 835, 669, 253, 861
• LCM of 716, 238, 430, 709, 332
• LCM of 207, 936, 712, 924, 660

1. What is the LCM of 430, 531, 239, 720, 204?

Answer: LCM of 430, 531, 239, 720, 204 is 7421638320.

2. How to calculate the LCM of 430, 531, 239, 720, 204?

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 430, 531, 239, 720, 204.

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}.