Given numbers are 442,505,728,61

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

The LCM of 442,505,728,61 is 381242680.

Find LCM of 442,505,728,61 with Prime Factorization

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

2 x 13 x 17 x 505 x 28 x 61 = 381242680

Therefore, the lowest common multiple of 442,505,728,61 is 381242680.

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.

442 x 505 x 728 x 61 = 9912309680

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

505 : 1, 5, 101, 505

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

61 : 1, 61

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,505,728,61, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

505:5x 101

728:2x 2x 2x 7x 13

61:61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 9912309680/(1x26)

LCM = 9912309680/26

LCM = 381242680

Thus, we can understand that the LCM of 442,505,728,61 is 381242680.

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

• LCM of 970, 700, 924, 89
• LCM of 254, 452, 924, 15
• LCM of 822, 971, 644, 59
• LCM of 111, 687, 409, 58
• LCM of 804, 619, 208, 27

1. What is the LCM of 442, 505, 728, 61?

Answer: LCM of 442, 505, 728, 61 is 381242680.

2. How to calculate the LCM of 442, 505, 728, 61?

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 442, 505, 728, 61.

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}.