Given numbers are 840,423,667,258,924

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

The LCM of 840,423,667,258,924 is 37366754040.

Find LCM of 840,423,667,258,924 with Prime Factorization

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

2 x 2 x 3 x 7 x 10 x 141 x 667 x 43 x 11 = 37366754040

Therefore, the lowest common multiple of 840,423,667,258,924 is 37366754040.

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 423 x 667 x 258 x 924 = 56498532108480

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

423 : 1, 3, 9, 47, 141, 423

667 : 1, 23, 29, 667

258 : 1, 2, 3, 6, 43, 86, 129, 258

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,423,667,258,924, is 1.

Now, the common factors can be found like this.

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

423:3x 3x 47

667:23x 29

258:2x 3x 43

924:2x 2x 3x 7x 11

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 3x 3x 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 56498532108480/(1x1512)

LCM = 56498532108480/1512

LCM = 37366754040

Thus, we can understand that the LCM of 840,423,667,258,924 is 37366754040.

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

• LCM of 197, 315, 923, 357, 239
• LCM of 258, 382, 667, 756, 233
• LCM of 426, 907, 818, 516, 450
• LCM of 370, 734, 615, 557, 833
• LCM of 921, 378, 531, 683, 369

1. What is the LCM of 840, 423, 667, 258, 924?

Answer: LCM of 840, 423, 667, 258, 924 is 37366754040.

2. How to calculate the LCM of 840, 423, 667, 258, 924?

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, 423, 667, 258, 924.

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}.