Given numbers are 543,138,548,214

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

The LCM of 543,138,548,214 is 732305004.

Find LCM of 543,138,548,214 with Prime Factorization

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

2 x 3 x 181 x 23 x 274 x 107 = 732305004

Therefore, the lowest common multiple of 543,138,548,214 is 732305004.

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.

543 x 138 x 548 x 214 = 8787660048

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.

543 : 1, 3, 181, 543

138 : 1, 2, 3, 6, 23, 46, 69, 138

548 : 1, 2, 4, 137, 274, 548

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,138,548,214, is 1.

Now, the common factors can be found like this.

543:3x 181

138:2x 3x 23

548:2x 2x 137

214:2x 107

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 3 = 12

Therefore, the value for common factors is 12.

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 = 8787660048/(1x12)

LCM = 8787660048/12

LCM = 732305004

Thus, we can understand that the LCM of 543,138,548,214 is 732305004.

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

• LCM of 354, 871, 844, 876
• LCM of 566, 969, 201, 269
• LCM of 616, 783, 288, 712
• LCM of 333, 456, 716, 166
• LCM of 443, 748, 974, 967

1. What is the LCM of 543, 138, 548, 214?

Answer: LCM of 543, 138, 548, 214 is 732305004.

2. How to calculate the LCM of 543, 138, 548, 214?

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 543, 138, 548, 214.

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}.