Given numbers are 546,952,702,676,266

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

The LCM of 546,952,702,676,266 is 82535544.

Find LCM of 546,952,702,676,266 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 1 x 34 x 9 x 13 x 19 = 82535544

Therefore, the lowest common multiple of 546,952,702,676,266 is 82535544.

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 952 x 702 x 676 x 266 = 65613776626944

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

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

266 : 1, 2, 7, 14, 19, 38, 133, 266

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,952,702,676,266, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

952:2x 2x 2x 7x 17

702:2x 3x 3x 3x 13

676:2x 2x 13x 13

266:2x 7x 19

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 7x 7x 13x 13 = 397488

Therefore, the value for common factors is 397488.

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 = 65613776626944/(2x397488)

LCM = 65613776626944/794976

LCM = 82535544

Thus, we can understand that the LCM of 546,952,702,676,266 is 82535544.

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

• LCM of 168, 710, 231, 791, 978
• LCM of 840, 449, 522, 935, 741
• LCM of 670, 602, 408, 731, 714
• LCM of 140, 516, 697, 152, 172
• LCM of 880, 774, 644, 605, 145

1. What is the LCM of 546, 952, 702, 676, 266?

Answer: LCM of 546, 952, 702, 676, 266 is 82535544.

2. How to calculate the LCM of 546, 952, 702, 676, 266?

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, 952, 702, 676, 266.

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}.