Given numbers are 840,109,974,821,983

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

The LCM of 840,109,974,821,983 is 35985821397960.

Find LCM of 840,109,974,821,983 with Prime Factorization

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

2 x 420 x 109 x 487 x 821 x 983 = 35985821397960

Therefore, the lowest common multiple of 840,109,974,821,983 is 35985821397960.

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 109 x 974 x 821 x 983 = 71971642795920

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

109 : 1, 109

974 : 1, 2, 487, 974

821 : 1, 821

983 : 1, 983

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,109,974,821,983, is 1.

Now, the common factors can be found like this.

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

109:109

974:2x 487

821:821

983:983

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 = 71971642795920/(1x2)

LCM = 71971642795920/2

LCM = 35985821397960

Thus, we can understand that the LCM of 840,109,974,821,983 is 35985821397960.

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

• LCM of 489, 245, 836, 631, 608
• LCM of 373, 165, 580, 878, 618
• LCM of 147, 543, 516, 293, 470
• LCM of 229, 834, 717, 195, 915
• LCM of 577, 356, 152, 789, 741

1. What is the LCM of 840, 109, 974, 821, 983?

Answer: LCM of 840, 109, 974, 821, 983 is 35985821397960.

2. How to calculate the LCM of 840, 109, 974, 821, 983?

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, 109, 974, 821, 983.

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}.