Given numbers are 448,749,480,351,643

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

The LCM of 448,749,480,351,643 is 54094098240.

Find LCM of 448,749,480,351,643 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 7 x 2 x 107 x 5 x 117 x 643 = 54094098240

Therefore, the lowest common multiple of 448,749,480,351,643 is 54094098240.

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.

448 x 749 x 480 x 351 x 643 = 36351234017280

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.

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

749 : 1, 7, 107, 749

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

643 : 1, 643

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,749,480,351,643, is 1.

Now, the common factors can be found like this.

448:2x 2x 2x 2x 2x 2x 7

749:7x 107

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

351:3x 3x 3x 13

643:643

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 7 = 672

Therefore, the value for common factors is 672.

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 = 36351234017280/(1x672)

LCM = 36351234017280/672

LCM = 54094098240

Thus, we can understand that the LCM of 448,749,480,351,643 is 54094098240.

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

• LCM of 910, 374, 685, 989, 791
• LCM of 505, 836, 424, 516, 536
• LCM of 400, 366, 257, 499, 592
• LCM of 521, 241, 316, 617, 106
• LCM of 273, 984, 756, 787, 297

1. What is the LCM of 448, 749, 480, 351, 643?

Answer: LCM of 448, 749, 480, 351, 643 is 54094098240.

2. How to calculate the LCM of 448, 749, 480, 351, 643?

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 448, 749, 480, 351, 643.

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}.