Given numbers are 546,706,784,242,713

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

The LCM of 546,706,784,242,713 is 931172786544.

Find LCM of 546,706,784,242,713 with Prime Factorization

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

2 x 7 x 39 x 353 x 56 x 121 x 713 = 931172786544

Therefore, the lowest common multiple of 546,706,784,242,713 is 931172786544.

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 706 x 784 x 242 x 713 = 52145676046464

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

706 : 1, 2, 353, 706

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

242 : 1, 2, 11, 22, 121, 242

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,706,784,242,713, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

706:2x 353

784:2x 2x 2x 2x 7x 7

242:2x 11x 11

713:23x 31

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 7 = 56

Therefore, the value for common factors is 56.

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 = 52145676046464/(1x56)

LCM = 52145676046464/56

LCM = 931172786544

Thus, we can understand that the LCM of 546,706,784,242,713 is 931172786544.

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

• LCM of 530, 647, 311, 396, 114
• LCM of 752, 179, 916, 238, 961
• LCM of 177, 833, 697, 511, 846
• LCM of 361, 806, 219, 120, 117
• LCM of 646, 345, 828, 813, 153

1. What is the LCM of 546, 706, 784, 242, 713?

Answer: LCM of 546, 706, 784, 242, 713 is 931172786544.

2. How to calculate the LCM of 546, 706, 784, 242, 713?

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, 706, 784, 242, 713.

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}.