Given numbers are 730,330,472,416,552

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

The LCM of 730,330,472,416,552 is 6799547040.

Find LCM of 730,330,472,416,552 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 73 x 11 x 59 x 52 x 23 = 6799547040

Therefore, the lowest common multiple of 730,330,472,416,552 is 6799547040.

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.

730 x 330 x 472 x 416 x 552 = 26110260633600

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

472 : 1, 2, 4, 8, 59, 118, 236, 472

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,330,472,416,552, is 2.

Now, the common factors can be found like this.

730:2x 5x 73

330:2x 3x 5x 11

472:2x 2x 2x 59

416:2x 2x 2x 2x 2x 13

552:2x 2x 2x 3x 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 2x 2x 2x 2x 2x 2x 3x 5 = 1920

Therefore, the value for common factors is 1920.

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 = 26110260633600/(2x1920)

LCM = 26110260633600/3840

LCM = 6799547040

Thus, we can understand that the LCM of 730,330,472,416,552 is 6799547040.

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

• LCM of 778, 791, 530, 831, 349
• LCM of 972, 929, 952, 332, 288
• LCM of 697, 734, 154, 921, 365
• LCM of 312, 910, 158, 340, 286
• LCM of 960, 802, 514, 179, 540

1. What is the LCM of 730, 330, 472, 416, 552?

Answer: LCM of 730, 330, 472, 416, 552 is 6799547040.

2. How to calculate the LCM of 730, 330, 472, 416, 552?

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 730, 330, 472, 416, 552.

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}.