Given numbers are 541,596,424,129,468

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

The LCM of 541,596,424,129,468 is 171950604696.

Find LCM of 541,596,424,129,468 with Prime Factorization

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

2 x 2 x 3 x 541 x 149 x 106 x 43 x 39 = 171950604696

Therefore, the lowest common multiple of 541,596,424,129,468 is 171950604696.

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.

541 x 596 x 424 x 129 x 468 = 8253629025408

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.

541 : 1, 541

596 : 1, 2, 4, 149, 298, 596

424 : 1, 2, 4, 8, 53, 106, 212, 424

129 : 1, 3, 43, 129

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,596,424,129,468, is 1.

Now, the common factors can be found like this.

541:541

596:2x 2x 149

424:2x 2x 2x 53

129:3x 43

468:2x 2x 3x 3x 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 3 = 48

Therefore, the value for common factors is 48.

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 = 8253629025408/(1x48)

LCM = 8253629025408/48

LCM = 171950604696

Thus, we can understand that the LCM of 541,596,424,129,468 is 171950604696.

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

• LCM of 821, 284, 749, 874, 761
• LCM of 483, 429, 708, 976, 101
• LCM of 348, 422, 811, 109, 713
• LCM of 841, 127, 961, 520, 373
• LCM of 493, 646, 188, 457, 264

1. What is the LCM of 541, 596, 424, 129, 468?

Answer: LCM of 541, 596, 424, 129, 468 is 171950604696.

2. How to calculate the LCM of 541, 596, 424, 129, 468?

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 541, 596, 424, 129, 468.

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}.