Given numbers are 546,104,522,202,715

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

The LCM of 546,104,522,202,715 is 1055494440.

Find LCM of 546,104,522,202,715 with Prime Factorization

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

2 x 3 x 13 x 7 x 4 x 87 x 101 x 55 = 1055494440

Therefore, the lowest common multiple of 546,104,522,202,715 is 1055494440.

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.

546 x 104 x 522 x 202 x 715 = 4281085448640

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

104 : 1, 2, 4, 8, 13, 26, 52, 104

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

202 : 1, 2, 101, 202

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,104,522,202,715, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

104:2x 2x 2x 13

522:2x 3x 3x 29

202:2x 101

715:5x 11x 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 3x 13x 13 = 4056

Therefore, the value for common factors is 4056.

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 = 4281085448640/(1x4056)

LCM = 4281085448640/4056

LCM = 1055494440

Thus, we can understand that the LCM of 546,104,522,202,715 is 1055494440.

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

• LCM of 148, 218, 117, 764, 858
• LCM of 637, 185, 947, 506, 889
• LCM of 359, 110, 654, 702, 134
• LCM of 508, 420, 666, 305, 423
• LCM of 904, 826, 263, 374, 926

1. What is the LCM of 546, 104, 522, 202, 715?

Answer: LCM of 546, 104, 522, 202, 715 is 1055494440.

2. How to calculate the LCM of 546, 104, 522, 202, 715?

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 546, 104, 522, 202, 715.

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}.