Given numbers are 738,695,460,754,260

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

The LCM of 738,695,460,754,260 is 8894885220.

Find LCM of 738,695,460,754,260 with Prime Factorization

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

2 x 2 x 5 x 13 x 369 x 139 x 23 x 29 x 1 = 8894885220

Therefore, the lowest common multiple of 738,695,460,754,260 is 8894885220.

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.

738 x 695 x 460 x 754 x 260 = 46253403144000

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

695 : 1, 5, 139, 695

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

754 : 1, 2, 13, 26, 29, 58, 377, 754

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,695,460,754,260, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

695:5x 139

460:2x 2x 5x 23

754:2x 13x 29

260:2x 2x 5x 13

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 5x 5x 13 = 5200

Therefore, the value for common factors is 5200.

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 = 46253403144000/(1x5200)

LCM = 46253403144000/5200

LCM = 8894885220

Thus, we can understand that the LCM of 738,695,460,754,260 is 8894885220.

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

• LCM of 397, 520, 841, 416, 111
• LCM of 917, 313, 968, 575, 390
• LCM of 659, 273, 655, 607, 876
• LCM of 926, 561, 336, 422, 903
• LCM of 164, 480, 494, 251, 656

1. What is the LCM of 738, 695, 460, 754, 260?

Answer: LCM of 738, 695, 460, 754, 260 is 8894885220.

2. How to calculate the LCM of 738, 695, 460, 754, 260?

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 738, 695, 460, 754, 260.

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}.