Given numbers are 577,688,412,747

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

The LCM of 577,688,412,747 is 30543730416.

Find LCM of 577,688,412,747 with Prime Factorization

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

2 x 2 x 577 x 172 x 103 x 747 = 30543730416

Therefore, the lowest common multiple of 577,688,412,747 is 30543730416.

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.

577 x 688 x 412 x 747 = 122174921664

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.

577 : 1, 577

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

412 : 1, 2, 4, 103, 206, 412

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,688,412,747, is 1.

Now, the common factors can be found like this.

577:577

688:2x 2x 2x 2x 43

412:2x 2x 103

747:3x 3x 83

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 122174921664/(1x4)

LCM = 122174921664/4

LCM = 30543730416

Thus, we can understand that the LCM of 577,688,412,747 is 30543730416.

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

• LCM of 798, 255, 751, 709
• LCM of 926, 303, 329, 640
• LCM of 300, 184, 136, 734
• LCM of 683, 337, 367, 959
• LCM of 168, 791, 691, 325

1. What is the LCM of 577, 688, 412, 747?

Answer: LCM of 577, 688, 412, 747 is 30543730416.

2. How to calculate the LCM of 577, 688, 412, 747?

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 577, 688, 412, 747.

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}.