Given numbers are 375,769,320,322,115

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

The LCM of 375,769,320,322,115 is 2971416000.

Find LCM of 375,769,320,322,115 with Prime Factorization

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

2 x 5 x 23 x 75 x 769 x 32 x 7 x 1 = 2971416000

Therefore, the lowest common multiple of 375,769,320,322,115 is 2971416000.

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.

375 x 769 x 320 x 322 x 115 = 3417128400000

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.

375 : 1, 3, 5, 15, 25, 75, 125, 375

769 : 1, 769

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

322 : 1, 2, 7, 14, 23, 46, 161, 322

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,769,320,322,115, is 1.

Now, the common factors can be found like this.

375:3x 5x 5x 5

769:769

320:2x 2x 2x 2x 2x 2x 5

322:2x 7x 23

115:5x 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 5x 5x 23 = 1150

Therefore, the value for common factors is 1150.

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 = 3417128400000/(1x1150)

LCM = 3417128400000/1150

LCM = 2971416000

Thus, we can understand that the LCM of 375,769,320,322,115 is 2971416000.

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

• LCM of 217, 431, 573, 329, 690
• LCM of 585, 100, 477, 664, 927
• LCM of 166, 502, 234, 693, 266
• LCM of 460, 810, 950, 945, 308
• LCM of 496, 251, 773, 445, 849

1. What is the LCM of 375, 769, 320, 322, 115?

Answer: LCM of 375, 769, 320, 322, 115 is 2971416000.

2. How to calculate the LCM of 375, 769, 320, 322, 115?

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 375, 769, 320, 322, 115.

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}.