Given numbers are 124,138,468,454

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

The LCM of 124,138,468,454 is 75746268.

Find LCM of 124,138,468,454 with Prime Factorization

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

2 x 2 x 3 x 31 x 23 x 39 x 227 = 75746268

Therefore, the lowest common multiple of 124,138,468,454 is 75746268.

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.

124 x 138 x 468 x 454 = 3635820864

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.

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

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

454 : 1, 2, 227, 454

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 124,138,468,454, is 2.

Now, the common factors can be found like this.

124:2x 2x 31

138:2x 3x 23

468:2x 2x 3x 3x 13

454:2x 227

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 3 = 24

Therefore, the value for common factors is 24.

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 = 3635820864/(2x24)

LCM = 3635820864/48

LCM = 75746268

Thus, we can understand that the LCM of 124,138,468,454 is 75746268.

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

• LCM of 302, 924, 938, 191
• LCM of 675, 836, 810, 829
• LCM of 160, 387, 693, 678
• LCM of 783, 918, 852, 108
• LCM of 159, 360, 370, 601

1. What is the LCM of 124, 138, 468, 454?

Answer: LCM of 124, 138, 468, 454 is 75746268.

2. How to calculate the LCM of 124, 138, 468, 454?

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 124, 138, 468, 454.

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}.