Given numbers are 942,408,720,805

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

The LCM of 942,408,720,805 is 309390480.

Find LCM of 942,408,720,805 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 157 x 17 x 6 x 161 = 309390480

Therefore, the lowest common multiple of 942,408,720,805 is 309390480.

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.

942 x 408 x 720 x 805 = 222761145600

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.

942 : 1, 2, 3, 6, 157, 314, 471, 942

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

805 : 1, 5, 7, 23, 35, 115, 161, 805

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,408,720,805, is 1.

Now, the common factors can be found like this.

942:2x 3x 157

408:2x 2x 2x 3x 17

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

805:5x 7x 23

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 2x 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 222761145600/(1x720)

LCM = 222761145600/720

LCM = 309390480

Thus, we can understand that the LCM of 942,408,720,805 is 309390480.

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

• LCM of 907, 846, 272, 689
• LCM of 633, 414, 297, 168
• LCM of 989, 339, 559, 912
• LCM of 281, 665, 395, 991
• LCM of 687, 712, 646, 854

1. What is the LCM of 942, 408, 720, 805?

Answer: LCM of 942, 408, 720, 805 is 309390480.

2. How to calculate the LCM of 942, 408, 720, 805?

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 942, 408, 720, 805.

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}.