Given numbers are 381,282,281,140

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

The LCM of 381,282,281,140 is 704461380.

Find LCM of 381,282,281,140 with Prime Factorization

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

2 x 3 x 127 x 47 x 281 x 70 = 704461380

Therefore, the lowest common multiple of 381,282,281,140 is 704461380.

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.

381 x 282 x 281 x 140 = 4226768280

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.

381 : 1, 3, 127, 381

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

281 : 1, 281

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,282,281,140, is 1.

Now, the common factors can be found like this.

381:3x 127

282:2x 3x 47

281:281

140:2x 2x 5x 7

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 4226768280/(1x6)

LCM = 4226768280/6

LCM = 704461380

Thus, we can understand that the LCM of 381,282,281,140 is 704461380.

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

• LCM of 634, 146, 150, 310
• LCM of 484, 930, 490, 640
• LCM of 910, 216, 716, 505
• LCM of 488, 320, 963, 758
• LCM of 812, 972, 783, 894

1. What is the LCM of 381, 282, 281, 140?

Answer: LCM of 381, 282, 281, 140 is 704461380.

2. How to calculate the LCM of 381, 282, 281, 140?

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 381, 282, 281, 140.

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}.