Given numbers are 282,476,221,34

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

The LCM of 282,476,221,34 is 872508.

Find LCM of 282,476,221,34 with Prime Factorization

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

2 x 17 x 141 x 14 x 13 x 1 = 872508

Therefore, the lowest common multiple of 282,476,221,34 is 872508.

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.

282 x 476 x 221 x 34 = 1008619248

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

221 : 1, 13, 17, 221

34 : 1, 2, 17, 34

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,476,221,34, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

476:2x 2x 7x 17

221:13x 17

34:2x 17

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 17x 17 = 1156

Therefore, the value for common factors is 1156.

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 = 1008619248/(1x1156)

LCM = 1008619248/1156

LCM = 872508

Thus, we can understand that the LCM of 282,476,221,34 is 872508.

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

• LCM of 610, 248, 160, 57
• LCM of 429, 639, 541, 89
• LCM of 964, 855, 993, 89
• LCM of 347, 858, 261, 83
• LCM of 608, 136, 387, 23

1. What is the LCM of 282, 476, 221, 34?

Answer: LCM of 282, 476, 221, 34 is 872508.

2. How to calculate the LCM of 282, 476, 221, 34?

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 282, 476, 221, 34.

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}.