Given numbers are 276,371,750,249,684

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

The LCM of 276,371,750,249,684 is 60554434500.

Find LCM of 276,371,750,249,684 with Prime Factorization

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

2 x 2 x 3 x 23 x 371 x 125 x 83 x 57 = 60554434500

Therefore, the lowest common multiple of 276,371,750,249,684 is 60554434500.

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.

276 x 371 x 750 x 249 x 684 = 13079757852000

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

371 : 1, 7, 53, 371

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

249 : 1, 3, 83, 249

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,371,750,249,684, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

371:7x 53

750:2x 3x 5x 5x 5

249:3x 83

684:2x 2x 3x 3x 19

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 13079757852000/(1x216)

LCM = 13079757852000/216

LCM = 60554434500

Thus, we can understand that the LCM of 276,371,750,249,684 is 60554434500.

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

• LCM of 744, 285, 135, 508, 567
• LCM of 360, 139, 719, 564, 921
• LCM of 197, 683, 624, 365, 359
• LCM of 854, 163, 401, 127, 799
• LCM of 590, 188, 569, 612, 358

1. What is the LCM of 276, 371, 750, 249, 684?

Answer: LCM of 276, 371, 750, 249, 684 is 60554434500.

2. How to calculate the LCM of 276, 371, 750, 249, 684?

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 276, 371, 750, 249, 684.

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}.