Given numbers are 299,124,138,410,676

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

The LCM of 299,124,138,410,676 is 296422620.

Find LCM of 299,124,138,410,676 with Prime Factorization

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

2 x 2 x 13 x 23 x 1 x 31 x 3 x 205 x 13 = 296422620

Therefore, the lowest common multiple of 299,124,138,410,676 is 296422620.

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 124 x 138 x 410 x 676 = 1418085814080

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

124 : 1, 2, 4, 31, 62, 124

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

410 : 1, 2, 5, 10, 41, 82, 205, 410

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,124,138,410,676, is 1.

Now, the common factors can be found like this.

299:13x 23

124:2x 2x 31

138:2x 3x 23

410:2x 5x 41

676:2x 2x 13x 13

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 13x 23 = 4784

Therefore, the value for common factors is 4784.

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 = 1418085814080/(1x4784)

LCM = 1418085814080/4784

LCM = 296422620

Thus, we can understand that the LCM of 299,124,138,410,676 is 296422620.

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

• LCM of 931, 969, 422, 521, 333
• LCM of 865, 693, 114, 113, 467
• LCM of 989, 300, 545, 966, 200
• LCM of 797, 241, 349, 337, 396
• LCM of 608, 106, 743, 883, 299

1. What is the LCM of 299, 124, 138, 410, 676?

Answer: LCM of 299, 124, 138, 410, 676 is 296422620.

2. How to calculate the LCM of 299, 124, 138, 410, 676?

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, 124, 138, 410, 676.

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}.