Given numbers are 148,707,130,268,586

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

The LCM of 148,707,130,268,586 is 133517105540.

Find LCM of 148,707,130,268,586 with Prime Factorization

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

2 x 2 x 37 x 707 x 65 x 67 x 293 = 133517105540

Therefore, the lowest common multiple of 148,707,130,268,586 is 133517105540.

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.

148 x 707 x 130 x 268 x 586 = 2136273688640

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.

148 : 1, 2, 4, 37, 74, 148

707 : 1, 7, 101, 707

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

268 : 1, 2, 4, 67, 134, 268

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,707,130,268,586, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

707:7x 101

130:2x 5x 13

268:2x 2x 67

586:2x 293

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 2 = 16

Therefore, the value for common factors is 16.

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 = 2136273688640/(1x16)

LCM = 2136273688640/16

LCM = 133517105540

Thus, we can understand that the LCM of 148,707,130,268,586 is 133517105540.

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

• LCM of 626, 436, 884, 722, 888
• LCM of 914, 407, 824, 520, 221
• LCM of 263, 371, 286, 600, 134
• LCM of 239, 671, 313, 367, 281
• LCM of 936, 742, 385, 684, 730

1. What is the LCM of 148, 707, 130, 268, 586?

Answer: LCM of 148, 707, 130, 268, 586 is 133517105540.

2. How to calculate the LCM of 148, 707, 130, 268, 586?

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 148, 707, 130, 268, 586.

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}.