Given numbers are 130,114,409,101

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

The LCM of 130,114,409,101 is 306099690.

Find LCM of 130,114,409,101 with Prime Factorization

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

2 x 65 x 57 x 409 x 101 = 306099690

Therefore, the lowest common multiple of 130,114,409,101 is 306099690.

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 114 x 409 x 101 = 612199380

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

114 : 1, 2, 3, 6, 19, 38, 57, 114

409 : 1, 409

101 : 1, 101

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,114,409,101, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

114:2x 3x 19

409:409

101:101

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 612199380/(1x2)

LCM = 612199380/2

LCM = 306099690

Thus, we can understand that the LCM of 130,114,409,101 is 306099690.

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

• LCM of 977, 144, 816, 509
• LCM of 766, 136, 316, 958
• LCM of 279, 105, 978, 191
• LCM of 885, 931, 468, 545
• LCM of 619, 906, 192, 917

1. What is the LCM of 130, 114, 409, 101?

Answer: LCM of 130, 114, 409, 101 is 306099690.

2. How to calculate the LCM of 130, 114, 409, 101?

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, 114, 409, 101.

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}.