Given numbers are 798,115,410,960

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

The LCM of 798,115,410,960 is 120402240.

Find LCM of 798,115,410,960 with Prime Factorization

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

2 x 3 x 5 x 133 x 23 x 41 x 32 = 120402240

Therefore, the lowest common multiple of 798,115,410,960 is 120402240.

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 115 x 410 x 960 = 36120672000

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

115 : 1, 5, 23, 115

410 : 1, 2, 5, 10, 41, 82, 205, 410

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,115,410,960, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

115:5x 23

410:2x 5x 41

960:2x 2x 2x 2x 2x 2x 3x 5

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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 36120672000/(1x300)

LCM = 36120672000/300

LCM = 120402240

Thus, we can understand that the LCM of 798,115,410,960 is 120402240.

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

• LCM of 745, 244, 244, 719
• LCM of 196, 929, 556, 272
• LCM of 821, 835, 300, 216
• LCM of 342, 706, 353, 318
• LCM of 970, 874, 784, 899

1. What is the LCM of 798, 115, 410, 960?

Answer: LCM of 798, 115, 410, 960 is 120402240.

2. How to calculate the LCM of 798, 115, 410, 960?

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, 115, 410, 960.

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}.