Given numbers are 284,978,682

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

The LCM of 284,978,682 is 47356716.

Find LCM of 284,978,682 with Prime Factorization

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

2 x 142 x 489 x 341 = 47356716

Therefore, the lowest common multiple of 284,978,682 is 47356716.

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.

284 x 978 x 682 = 189426864

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.

284 : 1, 2, 4, 71, 142, 284

978 : 1, 2, 3, 6, 163, 326, 489, 978

682 : 1, 2, 11, 22, 31, 62, 341, 682

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,978,682, is 2.

Now, the common factors can be found like this.

284:2x 2x 71

978:2x 3x 163

682:2x 11x 31

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

2 = 2

Therefore, the value for common factors is 2.

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 = 189426864/(2x2)

LCM = 189426864/4

LCM = 47356716

Thus, we can understand that the LCM of 284,978,682 is 47356716.

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

• LCM of 334, 301, 397
• LCM of 438, 882, 593
• LCM of 277, 997, 897
• LCM of 484, 697, 802
• LCM of 510, 968, 966

1. What is the LCM of 284, 978, 682?

Answer: LCM of 284, 978, 682 is 47356716.

2. How to calculate the LCM of 284, 978, 682?

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 284, 978, 682.

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}.