Given numbers are 577,182,493,814

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

The LCM of 577,182,493,814 is 21071164114.

Find LCM of 577,182,493,814 with Prime Factorization

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

2 x 577 x 91 x 493 x 407 = 21071164114

Therefore, the lowest common multiple of 577,182,493,814 is 21071164114.

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 182 x 493 x 814 = 42142328228

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

182 : 1, 2, 7, 13, 14, 26, 91, 182

493 : 1, 17, 29, 493

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 577,182,493,814, is 1.

Now, the common factors can be found like this.

577:577

182:2x 7x 13

493:17x 29

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 42142328228/(1x2)

LCM = 42142328228/2

LCM = 21071164114

Thus, we can understand that the LCM of 577,182,493,814 is 21071164114.

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

• LCM of 298, 904, 624, 503
• LCM of 501, 273, 262, 143
• LCM of 821, 644, 345, 500
• LCM of 495, 841, 198, 803
• LCM of 853, 949, 616, 878

1. What is the LCM of 577, 182, 493, 814?

Answer: LCM of 577, 182, 493, 814 is 21071164114.

2. How to calculate the LCM of 577, 182, 493, 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 577, 182, 493, 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}.