Given numbers are 368,126,415,507,138

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

The LCM of 368,126,415,507,138 is 1626009840.

Find LCM of 368,126,415,507,138 with Prime Factorization

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

2 x 3 x 23 x 8 x 21 x 415 x 169 x 1 = 1626009840

Therefore, the lowest common multiple of 368,126,415,507,138 is 1626009840.

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.

368 x 126 x 415 x 507 x 138 = 1346336147520

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

415 : 1, 5, 83, 415

507 : 1, 3, 13, 39, 169, 507

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,126,415,507,138, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

126:2x 3x 3x 7

415:5x 83

507:3x 13x 13

138:2x 3x 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 3x 3x 23 = 828

Therefore, the value for common factors is 828.

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 = 1346336147520/(1x828)

LCM = 1346336147520/828

LCM = 1626009840

Thus, we can understand that the LCM of 368,126,415,507,138 is 1626009840.

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

• LCM of 876, 585, 953, 587, 695
• LCM of 745, 846, 148, 186, 805
• LCM of 102, 484, 593, 686, 705
• LCM of 772, 358, 905, 879, 165
• LCM of 886, 111, 984, 673, 951

1. What is the LCM of 368, 126, 415, 507, 138?

Answer: LCM of 368, 126, 415, 507, 138 is 1626009840.

2. How to calculate the LCM of 368, 126, 415, 507, 138?

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 368, 126, 415, 507, 138.

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}.