Given numbers are 546,553,988,508,910

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

The LCM of 546,553,988,508,910 is 1040823420.

Find LCM of 546,553,988,508,910 with Prime Factorization

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

2 x 2 x 7 x 13 x 3 x 79 x 19 x 127 x 5 = 1040823420

Therefore, the lowest common multiple of 546,553,988,508,910 is 1040823420.

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 553 x 988 x 508 x 910 = 137904939856320

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

553 : 1, 7, 79, 553

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

508 : 1, 2, 4, 127, 254, 508

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,553,988,508,910, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

553:7x 79

988:2x 2x 13x 19

508:2x 2x 127

910:2x 5x 7x 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 7x 7x 13x 13 = 132496

Therefore, the value for common factors is 132496.

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 = 137904939856320/(1x132496)

LCM = 137904939856320/132496

LCM = 1040823420

Thus, we can understand that the LCM of 546,553,988,508,910 is 1040823420.

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

• LCM of 569, 177, 898, 665, 757
• LCM of 712, 456, 833, 437, 867
• LCM of 228, 885, 504, 513, 563
• LCM of 546, 624, 541, 360, 434
• LCM of 999, 864, 481, 390, 380

1. What is the LCM of 546, 553, 988, 508, 910?

Answer: LCM of 546, 553, 988, 508, 910 is 1040823420.

2. How to calculate the LCM of 546, 553, 988, 508, 910?

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, 553, 988, 508, 910.

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}.