Given numbers are 798,800,742,326,430

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

The LCM of 798,800,742,326,430 is 118575458400.

Find LCM of 798,800,742,326,430 with Prime Factorization

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

2 x 5 x 7 x 57 x 80 x 53 x 163 x 43 = 118575458400

Therefore, the lowest common multiple of 798,800,742,326,430 is 118575458400.

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.

798 x 800 x 742 x 326 x 430 = 66402256704000

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

742 : 1, 2, 7, 14, 53, 106, 371, 742

326 : 1, 2, 163, 326

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,800,742,326,430, is 2.

Now, the common factors can be found like this.

798:2x 3x 7x 19

800:2x 2x 2x 2x 2x 5x 5

742:2x 7x 53

326:2x 163

430:2x 5x 43

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 5x 7 = 280

Therefore, the value for common factors is 280.

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 = 66402256704000/(2x280)

LCM = 66402256704000/560

LCM = 118575458400

Thus, we can understand that the LCM of 798,800,742,326,430 is 118575458400.

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

• LCM of 797, 827, 289, 466, 705
• LCM of 841, 966, 978, 845, 827
• LCM of 530, 536, 246, 836, 903
• LCM of 981, 683, 164, 155, 962
• LCM of 383, 342, 935, 227, 545

1. What is the LCM of 798, 800, 742, 326, 430?

Answer: LCM of 798, 800, 742, 326, 430 is 118575458400.

2. How to calculate the LCM of 798, 800, 742, 326, 430?

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 798, 800, 742, 326, 430.

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}.