Given numbers are 546,778,456,424,126

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

The LCM of 546,778,456,424,126 is 2566569096.

Find LCM of 546,778,456,424,126 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 13 x 389 x 19 x 53 x 3 = 2566569096

Therefore, the lowest common multiple of 546,778,456,424,126 is 2566569096.

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 778 x 456 x 424 x 126 = 10348406595072

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

778 : 1, 2, 389, 778

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,778,456,424,126, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

778:2x 389

456:2x 2x 2x 3x 19

424:2x 2x 2x 53

126:2x 3x 3x 7

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 2x 3x 3x 7 = 2016

Therefore, the value for common factors is 2016.

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 = 10348406595072/(2x2016)

LCM = 10348406595072/4032

LCM = 2566569096

Thus, we can understand that the LCM of 546,778,456,424,126 is 2566569096.

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

• LCM of 980, 668, 863, 793, 359
• LCM of 476, 800, 155, 194, 577
• LCM of 502, 235, 714, 910, 585
• LCM of 378, 269, 450, 279, 142
• LCM of 593, 981, 992, 366, 620

1. What is the LCM of 546, 778, 456, 424, 126?

Answer: LCM of 546, 778, 456, 424, 126 is 2566569096.

2. How to calculate the LCM of 546, 778, 456, 424, 126?

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, 778, 456, 424, 126.

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}.