Given numbers are 709,288,344,728

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

The LCM of 709,288,344,728 is 799003296.

Find LCM of 709,288,344,728 with Prime Factorization

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

2 x 2 x 2 x 709 x 36 x 43 x 91 = 799003296

Therefore, the lowest common multiple of 709,288,344,728 is 799003296.

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.

709 x 288 x 344 x 728 = 51136210944

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.

709 : 1, 709

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

344 : 1, 2, 4, 8, 43, 86, 172, 344

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,288,344,728, is 1.

Now, the common factors can be found like this.

709:709

288:2x 2x 2x 2x 2x 3x 3

344:2x 2x 2x 43

728:2x 2x 2x 7x 13

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 51136210944/(1x64)

LCM = 51136210944/64

LCM = 799003296

Thus, we can understand that the LCM of 709,288,344,728 is 799003296.

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

• LCM of 165, 664, 444, 596
• LCM of 646, 298, 906, 716
• LCM of 383, 826, 250, 863
• LCM of 635, 525, 997, 699
• LCM of 255, 268, 787, 144

1. What is the LCM of 709, 288, 344, 728?

Answer: LCM of 709, 288, 344, 728 is 799003296.

2. How to calculate the LCM of 709, 288, 344, 728?

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 709, 288, 344, 728.

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}.