Given numbers are 130,460,695,190,340

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

The LCM of 130,460,695,190,340 is 268484060.

Find LCM of 130,460,695,190,340 with Prime Factorization

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

2 x 2 x 5 x 13 x 23 x 139 x 19 x 17 = 268484060

Therefore, the lowest common multiple of 130,460,695,190,340 is 268484060.

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.

130 x 460 x 695 x 190 x 340 = 2684840600000

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.

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

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

695 : 1, 5, 139, 695

190 : 1, 2, 5, 10, 19, 38, 95, 190

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,460,695,190,340, is 5.

Now, the common factors can be found like this.

130:2x 5x 13

460:2x 2x 5x 23

695:5x 139

190:2x 5x 19

340:2x 2x 5x 17

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 5x 5x 5 = 2000

Therefore, the value for common factors is 2000.

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 = 2684840600000/(5x2000)

LCM = 2684840600000/10000

LCM = 268484060

Thus, we can understand that the LCM of 130,460,695,190,340 is 268484060.

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

• LCM of 870, 450, 322, 851, 352
• LCM of 898, 379, 997, 605, 298
• LCM of 567, 182, 862, 785, 267
• LCM of 256, 312, 273, 531, 775
• LCM of 585, 382, 561, 300, 476

1. What is the LCM of 130, 460, 695, 190, 340?

Answer: LCM of 130, 460, 695, 190, 340 is 268484060.

2. How to calculate the LCM of 130, 460, 695, 190, 340?

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 130, 460, 695, 190, 340.

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}.