Given numbers are 213,720,450,554

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

The LCM of 213,720,450,554 is 70801200.

Find LCM of 213,720,450,554 with Prime Factorization

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

2 x 3 x 3 x 5 x 71 x 8 x 5 x 277 = 70801200

Therefore, the lowest common multiple of 213,720,450,554 is 70801200.

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.

213 x 720 x 450 x 554 = 38232648000

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.

213 : 1, 3, 71, 213

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,720,450,554, is 1.

Now, the common factors can be found like this.

213:3x 71

720:2x 2x 2x 2x 3x 3x 5

450:2x 3x 3x 5x 5

554:2x 277

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 3x 3x 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 38232648000/(1x540)

LCM = 38232648000/540

LCM = 70801200

Thus, we can understand that the LCM of 213,720,450,554 is 70801200.

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

• LCM of 649, 307, 646, 712
• LCM of 540, 663, 394, 551
• LCM of 520, 812, 369, 774
• LCM of 590, 464, 972, 666
• LCM of 144, 990, 159, 618

1. What is the LCM of 213, 720, 450, 554?

Answer: LCM of 213, 720, 450, 554 is 70801200.

2. How to calculate the LCM of 213, 720, 450, 554?

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 213, 720, 450, 554.

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}.