Given numbers are 440,467,260,728,430

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

The LCM of 440,467,260,728,430 is 804043240.

Find LCM of 440,467,260,728,430 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 11 x 467 x 1 x 7 x 43 = 804043240

Therefore, the lowest common multiple of 440,467,260,728,430 is 804043240.

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.

440 x 467 x 260 x 728 x 430 = 16724099392000

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

467 : 1, 467

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

430 : 1, 2, 5, 10, 43, 86, 215, 430

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,467,260,728,430, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

467:467

260:2x 2x 5x 13

728:2x 2x 2x 7x 13

430:2x 5x 43

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 5x 5x 13 = 20800

Therefore, the value for common factors is 20800.

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 = 16724099392000/(1x20800)

LCM = 16724099392000/20800

LCM = 804043240

Thus, we can understand that the LCM of 440,467,260,728,430 is 804043240.

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

• LCM of 101, 697, 441, 386, 975
• LCM of 360, 198, 807, 994, 976
• LCM of 754, 570, 869, 305, 249
• LCM of 338, 507, 302, 802, 246
• LCM of 883, 761, 784, 325, 148

1. What is the LCM of 440, 467, 260, 728, 430?

Answer: LCM of 440, 467, 260, 728, 430 is 804043240.

2. How to calculate the LCM of 440, 467, 260, 728, 430?

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 440, 467, 260, 728, 430.

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}.