Given numbers are 800,930,190,968,340

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

The LCM of 800,930,190,968,340 is 2907775200.

Find LCM of 800,930,190,968,340 with Prime Factorization

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

2 x 2 x 2 x 5 x 20 x 93 x 19 x 121 x 17 = 2907775200

Therefore, the lowest common multiple of 800,930,190,968,340 is 2907775200.

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.

800 x 930 x 190 x 968 x 340 = 46524403200000

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.

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

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

190 : 1, 2, 5, 10, 19, 38, 95, 190

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,930,190,968,340, is 2.

Now, the common factors can be found like this.

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

930:2x 3x 5x 31

190:2x 5x 19

968:2x 2x 2x 11x 11

340:2x 2x 5x 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 2x 2x 2x 5x 5x 5 = 8000

Therefore, the value for common factors is 8000.

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 = 46524403200000/(2x8000)

LCM = 46524403200000/16000

LCM = 2907775200

Thus, we can understand that the LCM of 800,930,190,968,340 is 2907775200.

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

• LCM of 463, 665, 222, 623, 849
• LCM of 780, 966, 298, 879, 441
• LCM of 796, 695, 640, 890, 145
• LCM of 305, 932, 666, 467, 406
• LCM of 729, 747, 556, 570, 477

1. What is the LCM of 800, 930, 190, 968, 340?

Answer: LCM of 800, 930, 190, 968, 340 is 2907775200.

2. How to calculate the LCM of 800, 930, 190, 968, 340?

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 800, 930, 190, 968, 340.

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}.