Given numbers are 290,506,910,130,326

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

The LCM of 290,506,910,130,326 is 1088297210.

Find LCM of 290,506,910,130,326 with Prime Factorization

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

2 x 5 x 13 x 29 x 253 x 7 x 1 x 163 = 1088297210

Therefore, the lowest common multiple of 290,506,910,130,326 is 1088297210.

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.

290 x 506 x 910 x 130 x 326 = 5659145492000

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

506 : 1, 2, 11, 22, 23, 46, 253, 506

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

130 : 1, 2, 5, 10, 13, 26, 65, 130

326 : 1, 2, 163, 326

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,506,910,130,326, is 2.

Now, the common factors can be found like this.

290:2x 5x 29

506:2x 11x 23

910:2x 5x 7x 13

130:2x 5x 13

326:2x 163

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 5x 5x 13 = 2600

Therefore, the value for common factors is 2600.

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 = 5659145492000/(2x2600)

LCM = 5659145492000/5200

LCM = 1088297210

Thus, we can understand that the LCM of 290,506,910,130,326 is 1088297210.

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

• LCM of 388, 360, 507, 322, 361
• LCM of 408, 504, 749, 377, 387
• LCM of 566, 742, 202, 150, 150
• LCM of 208, 829, 226, 888, 431
• LCM of 993, 287, 690, 895, 439

1. What is the LCM of 290, 506, 910, 130, 326?

Answer: LCM of 290, 506, 910, 130, 326 is 1088297210.

2. How to calculate the LCM of 290, 506, 910, 130, 326?

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 290, 506, 910, 130, 326.

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}.