Given numbers are 729,880,738,714

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

The LCM of 729,880,738,714 is 3129976080.

Find LCM of 729,880,738,714 with Prime Factorization

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

2 x 3 x 3 x 81 x 440 x 41 x 119 = 3129976080

Therefore, the lowest common multiple of 729,880,738,714 is 3129976080.

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.

729 x 880 x 738 x 714 = 338037416640

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.

729 : 1, 3, 9, 27, 81, 243, 729

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,880,738,714, is 1.

Now, the common factors can be found like this.

729:3x 3x 3x 3x 3x 3

880:2x 2x 2x 2x 5x 11

738:2x 3x 3x 41

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 3 = 108

Therefore, the value for common factors is 108.

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 = 338037416640/(1x108)

LCM = 338037416640/108

LCM = 3129976080

Thus, we can understand that the LCM of 729,880,738,714 is 3129976080.

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

• LCM of 336, 479, 755, 736
• LCM of 305, 843, 333, 578
• LCM of 781, 783, 112, 152
• LCM of 455, 308, 988, 185
• LCM of 488, 941, 465, 224

1. What is the LCM of 729, 880, 738, 714?

Answer: LCM of 729, 880, 738, 714 is 3129976080.

2. How to calculate the LCM of 729, 880, 738, 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 729, 880, 738, 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}.