Given numbers are 285,171,247,281

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

The LCM of 285,171,247,281 is 3123315.

Find LCM of 285,171,247,281 with Prime Factorization

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

3 x 19 x 5 x 3 x 13 x 281 = 3123315

Therefore, the lowest common multiple of 285,171,247,281 is 3123315.

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.

285 x 171 x 247 x 281 = 3382550145

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.

285 : 1, 3, 5, 15, 19, 57, 95, 285

171 : 1, 3, 9, 19, 57, 171

247 : 1, 13, 19, 247

281 : 1, 281

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,171,247,281, is 1.

Now, the common factors can be found like this.

285:3x 5x 19

171:3x 3x 19

247:13x 19

281:281

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

3x 19x 19 = 1083

Therefore, the value for common factors is 1083.

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 = 3382550145/(1x1083)

LCM = 3382550145/1083

LCM = 3123315

Thus, we can understand that the LCM of 285,171,247,281 is 3123315.

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

• LCM of 802, 228, 242, 889
• LCM of 554, 269, 392, 778
• LCM of 239, 887, 183, 306
• LCM of 340, 972, 918, 776
• LCM of 710, 902, 389, 760

1. What is the LCM of 285, 171, 247, 281?

Answer: LCM of 285, 171, 247, 281 is 3123315.

2. How to calculate the LCM of 285, 171, 247, 281?

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 285, 171, 247, 281.

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}.