Given numbers are 543,225,914,344

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

The LCM of 543,225,914,344 is 6402295800.

Find LCM of 543,225,914,344 with Prime Factorization

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

2 x 3 x 181 x 75 x 457 x 172 = 6402295800

Therefore, the lowest common multiple of 543,225,914,344 is 6402295800.

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 225 x 914 x 344 = 38413774800

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

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

914 : 1, 2, 457, 914

344 : 1, 2, 4, 8, 43, 86, 172, 344

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,225,914,344, is 1.

Now, the common factors can be found like this.

543:3x 181

225:3x 3x 5x 5

914:2x 457

344:2x 2x 2x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 38413774800/(1x6)

LCM = 38413774800/6

LCM = 6402295800

Thus, we can understand that the LCM of 543,225,914,344 is 6402295800.

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

• LCM of 525, 999, 340, 498
• LCM of 487, 355, 486, 542
• LCM of 547, 230, 814, 302
• LCM of 520, 263, 715, 476
• LCM of 188, 690, 763, 359

1. What is the LCM of 543, 225, 914, 344?

Answer: LCM of 543, 225, 914, 344 is 6402295800.

2. How to calculate the LCM of 543, 225, 914, 344?

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, 225, 914, 344.

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}.