Given numbers are 546,726,946,714

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

The LCM of 546,726,946,714 is 48294246.

Find LCM of 546,726,946,714 with Prime Factorization

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

2 x 3 x 7 x 11 x 13 x 11 x 43 x 17 = 48294246

Therefore, the lowest common multiple of 546,726,946,714 is 48294246.

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 726 x 946 x 714 = 267743299824

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

946 : 1, 2, 11, 22, 43, 86, 473, 946

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,726,946,714, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

726:2x 3x 11x 11

946:2x 11x 43

714:2x 3x 7x 17

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 3x 3x 7x 11 = 2772

Therefore, the value for common factors is 2772.

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 = 267743299824/(2x2772)

LCM = 267743299824/5544

LCM = 48294246

Thus, we can understand that the LCM of 546,726,946,714 is 48294246.

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

• LCM of 834, 517, 992, 992
• LCM of 117, 445, 352, 713
• LCM of 737, 857, 633, 150
• LCM of 766, 680, 892, 514
• LCM of 287, 533, 690, 528

1. What is the LCM of 546, 726, 946, 714?

Answer: LCM of 546, 726, 946, 714 is 48294246.

2. How to calculate the LCM of 546, 726, 946, 714?

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, 726, 946, 714.

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}.