Given numbers are 547,458,460,543

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

The LCM of 547,458,460,543 is 31288192140.

Find LCM of 547,458,460,543 with Prime Factorization

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

2 x 547 x 229 x 230 x 543 = 31288192140

Therefore, the lowest common multiple of 547,458,460,543 is 31288192140.

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.

547 x 458 x 460 x 543 = 62576384280

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.

547 : 1, 547

458 : 1, 2, 229, 458

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

543 : 1, 3, 181, 543

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,458,460,543, is 1.

Now, the common factors can be found like this.

547:547

458:2x 229

460:2x 2x 5x 23

543:3x 181

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 = 62576384280/(1x2)

LCM = 62576384280/2

LCM = 31288192140

Thus, we can understand that the LCM of 547,458,460,543 is 31288192140.

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

• LCM of 905, 293, 333, 167
• LCM of 535, 769, 941, 989
• LCM of 412, 251, 714, 600
• LCM of 763, 988, 728, 331
• LCM of 773, 407, 608, 875

1. What is the LCM of 547, 458, 460, 543?

Answer: LCM of 547, 458, 460, 543 is 31288192140.

2. How to calculate the LCM of 547, 458, 460, 543?

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 547, 458, 460, 543.

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}.