Given numbers are 541,924,138,454,480

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

The LCM of 541,924,138,454,480 is 104395774560.

Find LCM of 541,924,138,454,480 with Prime Factorization

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

2 x 2 x 3 x 541 x 77 x 23 x 227 x 40 = 104395774560

Therefore, the lowest common multiple of 541,924,138,454,480 is 104395774560.

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 924 x 138 x 454 x 480 = 15032991536640

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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

454 : 1, 2, 227, 454

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,924,138,454,480, is 1.

Now, the common factors can be found like this.

541:541

924:2x 2x 3x 7x 11

138:2x 3x 23

454:2x 227

480:2x 2x 2x 2x 2x 3x 5

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 15032991536640/(1x144)

LCM = 15032991536640/144

LCM = 104395774560

Thus, we can understand that the LCM of 541,924,138,454,480 is 104395774560.

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

• LCM of 497, 781, 240, 334, 954
• LCM of 761, 669, 333, 279, 111
• LCM of 523, 442, 102, 972, 897
• LCM of 881, 870, 808, 624, 404
• LCM of 740, 775, 529, 718, 141

1. What is the LCM of 541, 924, 138, 454, 480?

Answer: LCM of 541, 924, 138, 454, 480 is 104395774560.

2. How to calculate the LCM of 541, 924, 138, 454, 480?

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, 924, 138, 454, 480.

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}.