Given numbers are 840,954,348,993,948

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

The LCM of 840,954,348,993,948 is 101281352760.

Find LCM of 840,954,348,993,948 with Prime Factorization

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

2 x 2 x 3 x 70 x 159 x 29 x 331 x 79 = 101281352760

Therefore, the lowest common multiple of 840,954,348,993,948 is 101281352760.

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.

840 x 954 x 348 x 993 x 948 = 262521266353920

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.

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

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

993 : 1, 3, 331, 993

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,954,348,993,948, is 3.

Now, the common factors can be found like this.

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

954:2x 3x 3x 53

348:2x 2x 3x 29

993:3x 331

948:2x 2x 3x 79

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 2x 2x 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 262521266353920/(3x864)

LCM = 262521266353920/2592

LCM = 101281352760

Thus, we can understand that the LCM of 840,954,348,993,948 is 101281352760.

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

• LCM of 813, 144, 419, 806, 440
• LCM of 472, 584, 367, 107, 490
• LCM of 535, 884, 747, 938, 925
• LCM of 380, 354, 979, 116, 661
• LCM of 374, 242, 777, 635, 232

1. What is the LCM of 840, 954, 348, 993, 948?

Answer: LCM of 840, 954, 348, 993, 948 is 101281352760.

2. How to calculate the LCM of 840, 954, 348, 993, 948?

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 840, 954, 348, 993, 948.

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}.