Given numbers are 144,305,299,146

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

The LCM of 144,305,299,146 is 958641840.

Find LCM of 144,305,299,146 with Prime Factorization

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

2 x 72 x 305 x 299 x 73 = 958641840

Therefore, the lowest common multiple of 144,305,299,146 is 958641840.

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.

144 x 305 x 299 x 146 = 1917283680

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.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

305 : 1, 5, 61, 305

299 : 1, 13, 23, 299

146 : 1, 2, 73, 146

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,305,299,146, is 1.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

305:5x 61

299:13x 23

146:2x 73

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 = 1917283680/(1x2)

LCM = 1917283680/2

LCM = 958641840

Thus, we can understand that the LCM of 144,305,299,146 is 958641840.

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

• LCM of 569, 878, 241, 779
• LCM of 596, 886, 442, 228
• LCM of 346, 498, 553, 970
• LCM of 521, 972, 538, 454
• LCM of 269, 149, 934, 401

1. What is the LCM of 144, 305, 299, 146?

Answer: LCM of 144, 305, 299, 146 is 958641840.

2. How to calculate the LCM of 144, 305, 299, 146?

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 144, 305, 299, 146.

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}.