Given numbers are 543,273,312,338,902

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

The LCM of 543,273,312,338,902 is 2317667352.

Find LCM of 543,273,312,338,902 with Prime Factorization

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

2 x 3 x 13 x 181 x 7 x 4 x 13 x 451 = 2317667352

Therefore, the lowest common multiple of 543,273,312,338,902 is 2317667352.

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 273 x 312 x 338 x 902 = 14100688169568

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

273 : 1, 3, 7, 13, 21, 39, 91, 273

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

338 : 1, 2, 13, 26, 169, 338

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,273,312,338,902, is 1.

Now, the common factors can be found like this.

543:3x 181

273:3x 7x 13

312:2x 2x 2x 3x 13

338:2x 13x 13

902:2x 11x 41

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 13x 13 = 6084

Therefore, the value for common factors is 6084.

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 = 14100688169568/(1x6084)

LCM = 14100688169568/6084

LCM = 2317667352

Thus, we can understand that the LCM of 543,273,312,338,902 is 2317667352.

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

• LCM of 989, 540, 597, 747, 139
• LCM of 826, 905, 395, 847, 813
• LCM of 702, 512, 604, 325, 745
• LCM of 534, 829, 468, 392, 548
• LCM of 773, 400, 277, 906, 814

1. What is the LCM of 543, 273, 312, 338, 902?

Answer: LCM of 543, 273, 312, 338, 902 is 2317667352.

2. How to calculate the LCM of 543, 273, 312, 338, 902?

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, 273, 312, 338, 902.

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}.