Given numbers are 138,514,130,520,695

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

The LCM of 138,514,130,520,695 is 1281741240.

Find LCM of 138,514,130,520,695 with Prime Factorization

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

2 x 5 x 13 x 69 x 257 x 1 x 4 x 139 = 1281741240

Therefore, the lowest common multiple of 138,514,130,520,695 is 1281741240.

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.

138 x 514 x 130 x 520 x 695 = 3332527224000

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

514 : 1, 2, 257, 514

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

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

695 : 1, 5, 139, 695

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,514,130,520,695, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

514:2x 257

130:2x 5x 13

520:2x 2x 2x 5x 13

695:5x 139

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 = 3332527224000/(1x2600)

LCM = 3332527224000/2600

LCM = 1281741240

Thus, we can understand that the LCM of 138,514,130,520,695 is 1281741240.

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

• LCM of 458, 818, 148, 857, 380
• LCM of 240, 378, 161, 713, 108
• LCM of 929, 520, 613, 254, 887
• LCM of 689, 443, 241, 934, 771
• LCM of 333, 553, 462, 814, 765

1. What is the LCM of 138, 514, 130, 520, 695?

Answer: LCM of 138, 514, 130, 520, 695 is 1281741240.

2. How to calculate the LCM of 138, 514, 130, 520, 695?

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 138, 514, 130, 520, 695.

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}.