Given numbers are 840,168,257,848,299

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

The LCM of 840,168,257,848,299 is 6842100720.

Find LCM of 840,168,257,848,299 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 5 x 1 x 257 x 106 x 299 = 6842100720

Therefore, the lowest common multiple of 840,168,257,848,299 is 6842100720.

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 168 x 257 x 848 x 299 = 9195783367680

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

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

257 : 1, 257

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,168,257,848,299, is 1.

Now, the common factors can be found like this.

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

168:2x 2x 2x 3x 7

257:257

848:2x 2x 2x 2x 53

299:13x 23

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 2x 3x 7 = 1344

Therefore, the value for common factors is 1344.

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 = 9195783367680/(1x1344)

LCM = 9195783367680/1344

LCM = 6842100720

Thus, we can understand that the LCM of 840,168,257,848,299 is 6842100720.

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

• LCM of 131, 226, 974, 244, 993
• LCM of 714, 995, 871, 884, 134
• LCM of 150, 717, 753, 347, 469
• LCM of 292, 369, 733, 455, 380
• LCM of 899, 881, 622, 914, 596

1. What is the LCM of 840, 168, 257, 848, 299?

Answer: LCM of 840, 168, 257, 848, 299 is 6842100720.

2. How to calculate the LCM of 840, 168, 257, 848, 299?

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, 168, 257, 848, 299.

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}.