Given numbers are 299,276,188,460

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

The LCM of 299,276,188,460 is 843180.

Find LCM of 299,276,188,460 with Prime Factorization

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

2 x 2 x 23 x 13 x 3 x 47 x 5 = 843180

Therefore, the lowest common multiple of 299,276,188,460 is 843180.

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.

299 x 276 x 188 x 460 = 7136675520

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.

299 : 1, 13, 23, 299

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

188 : 1, 2, 4, 47, 94, 188

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,276,188,460, is 1.

Now, the common factors can be found like this.

299:13x 23

276:2x 2x 3x 23

188:2x 2x 47

460:2x 2x 5x 23

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 23x 23 = 8464

Therefore, the value for common factors is 8464.

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 = 7136675520/(1x8464)

LCM = 7136675520/8464

LCM = 843180

Thus, we can understand that the LCM of 299,276,188,460 is 843180.

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

• LCM of 535, 143, 175, 919
• LCM of 143, 289, 305, 965
• LCM of 486, 359, 148, 762
• LCM of 336, 492, 399, 953
• LCM of 478, 736, 906, 430

1. What is the LCM of 299, 276, 188, 460?

Answer: LCM of 299, 276, 188, 460 is 843180.

2. How to calculate the LCM of 299, 276, 188, 460?

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 299, 276, 188, 460.

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}.