Given numbers are 514,540,772,438

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

The LCM of 514,540,772,438 is 1955271420.

Find LCM of 514,540,772,438 with Prime Factorization

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

2 x 2 x 3 x 257 x 45 x 193 x 73 = 1955271420

Therefore, the lowest common multiple of 514,540,772,438 is 1955271420.

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.

514 x 540 x 772 x 438 = 93853028160

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.

514 : 1, 2, 257, 514

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

772 : 1, 2, 4, 193, 386, 772

438 : 1, 2, 3, 6, 73, 146, 219, 438

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,540,772,438, is 2.

Now, the common factors can be found like this.

514:2x 257

540:2x 2x 3x 3x 3x 5

772:2x 2x 193

438:2x 3x 73

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 3 = 24

Therefore, the value for common factors is 24.

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 = 93853028160/(2x24)

LCM = 93853028160/48

LCM = 1955271420

Thus, we can understand that the LCM of 514,540,772,438 is 1955271420.

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

• LCM of 373, 137, 395, 184
• LCM of 364, 985, 172, 280
• LCM of 925, 579, 526, 123
• LCM of 599, 593, 705, 330
• LCM of 715, 304, 101, 742

1. What is the LCM of 514, 540, 772, 438?

Answer: LCM of 514, 540, 772, 438 is 1955271420.

2. How to calculate the LCM of 514, 540, 772, 438?

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 514, 540, 772, 438.

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}.