Given numbers are 546,918,723,814

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

The LCM of 546,918,723,814 is 8193991806.

Find LCM of 546,918,723,814 with Prime Factorization

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

2 x 3 x 91 x 153 x 241 x 407 = 8193991806

Therefore, the lowest common multiple of 546,918,723,814 is 8193991806.

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 918 x 723 x 814 = 294983705016

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

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

723 : 1, 3, 241, 723

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,918,723,814, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

918:2x 3x 3x 3x 17

723:3x 241

814:2x 11x 37

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 3 = 36

Therefore, the value for common factors is 36.

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 = 294983705016/(1x36)

LCM = 294983705016/36

LCM = 8193991806

Thus, we can understand that the LCM of 546,918,723,814 is 8193991806.

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

• LCM of 331, 619, 510, 972
• LCM of 117, 519, 211, 588
• LCM of 484, 333, 266, 890
• LCM of 698, 300, 560, 329
• LCM of 746, 296, 837, 847

1. What is the LCM of 546, 918, 723, 814?

Answer: LCM of 546, 918, 723, 814 is 8193991806.

2. How to calculate the LCM of 546, 918, 723, 814?

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, 918, 723, 814.

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}.