Given numbers are 189,834,840,987

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

The LCM of 189,834,840,987 is 49389480.

Find LCM of 189,834,840,987 with Prime Factorization

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

2 x 3 x 7 x 9 x 139 x 20 x 47 = 49389480

Therefore, the lowest common multiple of 189,834,840,987 is 49389480.

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.

189 x 834 x 840 x 987 = 130684564080

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

834 : 1, 2, 3, 6, 139, 278, 417, 834

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

987 : 1, 3, 7, 21, 47, 141, 329, 987

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,834,840,987, is 3.

Now, the common factors can be found like this.

189:3x 3x 3x 7

834:2x 3x 139

840:2x 2x 2x 3x 5x 7

987:3x 7x 47

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

2x 3x 3x 7x 7 = 882

Therefore, the value for common factors is 882.

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 = 130684564080/(3x882)

LCM = 130684564080/2646

LCM = 49389480

Thus, we can understand that the LCM of 189,834,840,987 is 49389480.

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

• LCM of 943, 547, 407, 429
• LCM of 563, 113, 667, 903
• LCM of 272, 418, 209, 845
• LCM of 303, 895, 995, 944
• LCM of 196, 119, 769, 887

1. What is the LCM of 189, 834, 840, 987?

Answer: LCM of 189, 834, 840, 987 is 49389480.

2. How to calculate the LCM of 189, 834, 840, 987?

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 189, 834, 840, 987.

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}.