Given numbers are 844,920,874,460,298

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

The LCM of 844,920,874,460,298 is 549553720.

Find LCM of 844,920,874,460,298 with Prime Factorization

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

2 x 2 x 5 x 23 x 211 x 1 x 19 x 2 x 149 = 549553720

Therefore, the lowest common multiple of 844,920,874,460,298 is 549553720.

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.

844 x 920 x 874 x 460 x 298 = 93028453721600

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.

844 : 1, 2, 4, 211, 422, 844

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

874 : 1, 2, 19, 23, 38, 46, 437, 874

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

298 : 1, 2, 149, 298

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,920,874,460,298, is 2.

Now, the common factors can be found like this.

844:2x 2x 211

920:2x 2x 2x 5x 23

874:2x 19x 23

460:2x 2x 5x 23

298:2x 149

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 5x 23x 23 = 84640

Therefore, the value for common factors is 84640.

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 = 93028453721600/(2x84640)

LCM = 93028453721600/169280

LCM = 549553720

Thus, we can understand that the LCM of 844,920,874,460,298 is 549553720.

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

• LCM of 737, 756, 213, 825, 185
• LCM of 285, 892, 258, 590, 139
• LCM of 708, 192, 489, 210, 301
• LCM of 574, 490, 524, 293, 163
• LCM of 883, 948, 621, 839, 876

1. What is the LCM of 844, 920, 874, 460, 298?

Answer: LCM of 844, 920, 874, 460, 298 is 549553720.

2. How to calculate the LCM of 844, 920, 874, 460, 298?

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 844, 920, 874, 460, 298.

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}.