Given numbers are 471,708,153,582,744

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

The LCM of 471,708,153,582,744 is 34093101384.

Find LCM of 471,708,153,582,744 with Prime Factorization

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

2 x 2 x 3 x 157 x 59 x 51 x 97 x 62 = 34093101384

Therefore, the lowest common multiple of 471,708,153,582,744 is 34093101384.

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.

471 x 708 x 153 x 582 x 744 = 22092329696832

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.

471 : 1, 3, 157, 471

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

153 : 1, 3, 9, 17, 51, 153

582 : 1, 2, 3, 6, 97, 194, 291, 582

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,708,153,582,744, is 3.

Now, the common factors can be found like this.

471:3x 157

708:2x 2x 3x 59

153:3x 3x 17

582:2x 3x 97

744:2x 2x 2x 3x 31

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 22092329696832/(3x216)

LCM = 22092329696832/648

LCM = 34093101384

Thus, we can understand that the LCM of 471,708,153,582,744 is 34093101384.

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

• LCM of 351, 378, 757, 422, 289
• LCM of 950, 445, 290, 860, 248
• LCM of 259, 785, 139, 622, 852
• LCM of 941, 685, 886, 451, 694
• LCM of 280, 809, 842, 410, 338

1. What is the LCM of 471, 708, 153, 582, 744?

Answer: LCM of 471, 708, 153, 582, 744 is 34093101384.

2. How to calculate the LCM of 471, 708, 153, 582, 744?

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 471, 708, 153, 582, 744.

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}.