Given numbers are 840,322,409,682

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

The LCM of 840,322,409,682 is 2694541080.

Find LCM of 840,322,409,682 with Prime Factorization

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

2 x 7 x 60 x 23 x 409 x 341 = 2694541080

Therefore, the lowest common multiple of 840,322,409,682 is 2694541080.

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 322 x 409 x 682 = 75447150240

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

322 : 1, 2, 7, 14, 23, 46, 161, 322

409 : 1, 409

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,322,409,682, is 1.

Now, the common factors can be found like this.

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

322:2x 7x 23

409:409

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.

2x 2x 7 = 28

Therefore, the value for common factors is 28.

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 = 75447150240/(1x28)

LCM = 75447150240/28

LCM = 2694541080

Thus, we can understand that the LCM of 840,322,409,682 is 2694541080.

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

• LCM of 273, 663, 460, 923
• LCM of 557, 434, 256, 684
• LCM of 655, 114, 116, 492
• LCM of 876, 465, 681, 113
• LCM of 956, 150, 905, 432

1. What is the LCM of 840, 322, 409, 682?

Answer: LCM of 840, 322, 409, 682 is 2694541080.

2. How to calculate the LCM of 840, 322, 409, 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 840, 322, 409, 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}.