Given numbers are 430,492,727,979,864

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

The LCM of 430,492,727,979,864 is 5420672405280.

Find LCM of 430,492,727,979,864 with Prime Factorization

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

2 x 2 x 3 x 215 x 41 x 727 x 979 x 72 = 5420672405280

Therefore, the lowest common multiple of 430,492,727,979,864 is 5420672405280.

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 492 x 727 x 979 x 864 = 130096137726720

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

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

727 : 1, 727

979 : 1, 11, 89, 979

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,492,727,979,864, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

492:2x 2x 3x 41

727:727

979:11x 89

864:2x 2x 2x 2x 2x 3x 3x 3

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 = 130096137726720/(1x24)

LCM = 130096137726720/24

LCM = 5420672405280

Thus, we can understand that the LCM of 430,492,727,979,864 is 5420672405280.

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

• LCM of 503, 746, 914, 684, 133
• LCM of 229, 799, 609, 843, 240
• LCM of 663, 977, 172, 711, 402
• LCM of 782, 205, 798, 375, 937
• LCM of 526, 639, 550, 319, 406

1. What is the LCM of 430, 492, 727, 979, 864?

Answer: LCM of 430, 492, 727, 979, 864 is 5420672405280.

2. How to calculate the LCM of 430, 492, 727, 979, 864?

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, 492, 727, 979, 864.

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}.