Given numbers are 480,372,936,769,291

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

The LCM of 480,372,936,769,291 is 43287809760.

Find LCM of 480,372,936,769,291 with Prime Factorization

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

2 x 2 x 2 x 3 x 20 x 31 x 39 x 769 x 97 = 43287809760

Therefore, the lowest common multiple of 480,372,936,769,291 is 43287809760.

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.

480 x 372 x 936 x 769 x 291 = 37400667632640

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.

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

769 : 1, 769

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,372,936,769,291, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

372:2x 2x 3x 31

936:2x 2x 2x 3x 3x 13

769:769

291:3x 97

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 37400667632640/(1x864)

LCM = 37400667632640/864

LCM = 43287809760

Thus, we can understand that the LCM of 480,372,936,769,291 is 43287809760.

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

• LCM of 471, 107, 967, 485, 927
• LCM of 581, 870, 547, 571, 551
• LCM of 192, 833, 727, 678, 222
• LCM of 359, 662, 434, 366, 818
• LCM of 230, 247, 397, 165, 312

1. What is the LCM of 480, 372, 936, 769, 291?

Answer: LCM of 480, 372, 936, 769, 291 is 43287809760.

2. How to calculate the LCM of 480, 372, 936, 769, 291?

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 480, 372, 936, 769, 291.

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}.