Given numbers are 534,512,214,680

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

The LCM of 534,512,214,680 is 1243322880.

Find LCM of 534,512,214,680 with Prime Factorization

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

2 x 2 x 2 x 267 x 64 x 107 x 85 = 1243322880

Therefore, the lowest common multiple of 534,512,214,680 is 1243322880.

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.

534 x 512 x 214 x 680 = 39786332160

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.

534 : 1, 2, 3, 6, 89, 178, 267, 534

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

214 : 1, 2, 107, 214

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,512,214,680, is 2.

Now, the common factors can be found like this.

534:2x 3x 89

512:2x 2x 2x 2x 2x 2x 2x 2x 2

214:2x 107

680:2x 2x 2x 5x 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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 39786332160/(2x16)

LCM = 39786332160/32

LCM = 1243322880

Thus, we can understand that the LCM of 534,512,214,680 is 1243322880.

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

• LCM of 152, 317, 694, 913
• LCM of 557, 962, 801, 111
• LCM of 761, 427, 416, 860
• LCM of 540, 872, 529, 226
• LCM of 993, 690, 208, 147

1. What is the LCM of 534, 512, 214, 680?

Answer: LCM of 534, 512, 214, 680 is 1243322880.

2. How to calculate the LCM of 534, 512, 214, 680?

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 534, 512, 214, 680.

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}.