Given numbers are 840,273,531,112,544

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

The LCM of 840,273,531,112,544 is 131433120.

Find LCM of 840,273,531,112,544 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 7 x 5 x 13 x 177 x 1 x 34 = 131433120

Therefore, the lowest common multiple of 840,273,531,112,544 is 131433120.

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.

840 x 273 x 531 x 112 x 544 = 7419136757760

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

531 : 1, 3, 9, 59, 177, 531

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,273,531,112,544, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

273:3x 7x 13

531:3x 3x 59

112:2x 2x 2x 2x 7

544:2x 2x 2x 2x 2x 17

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 2x 2x 2x 2x 2x 3x 3x 7x 7 = 56448

Therefore, the value for common factors is 56448.

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 = 7419136757760/(1x56448)

LCM = 7419136757760/56448

LCM = 131433120

Thus, we can understand that the LCM of 840,273,531,112,544 is 131433120.

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

• LCM of 416, 958, 519, 304, 384
• LCM of 390, 797, 616, 697, 838
• LCM of 272, 961, 494, 619, 269
• LCM of 477, 125, 383, 829, 425
• LCM of 898, 503, 551, 300, 194

1. What is the LCM of 840, 273, 531, 112, 544?

Answer: LCM of 840, 273, 531, 112, 544 is 131433120.

2. How to calculate the LCM of 840, 273, 531, 112, 544?

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 840, 273, 531, 112, 544.

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}.