Given numbers are 840,423,310,272,276

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

The LCM of 840,423,310,272,276 is 2871222480.

Find LCM of 840,423,310,272,276 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 7 x 141 x 31 x 34 x 23 = 2871222480

Therefore, the lowest common multiple of 840,423,310,272,276 is 2871222480.

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 423 x 310 x 272 x 276 = 8269120742400

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

423 : 1, 3, 9, 47, 141, 423

310 : 1, 2, 5, 10, 31, 62, 155, 310

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,423,310,272,276, is 1.

Now, the common factors can be found like this.

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

423:3x 3x 47

310:2x 5x 31

272:2x 2x 2x 2x 17

276:2x 2x 3x 23

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 3x 3x 5 = 2880

Therefore, the value for common factors is 2880.

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 = 8269120742400/(1x2880)

LCM = 8269120742400/2880

LCM = 2871222480

Thus, we can understand that the LCM of 840,423,310,272,276 is 2871222480.

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

• LCM of 856, 589, 912, 980, 142
• LCM of 933, 467, 797, 867, 491
• LCM of 600, 646, 373, 481, 381
• LCM of 552, 589, 342, 297, 807
• LCM of 160, 477, 126, 167, 846

1. What is the LCM of 840, 423, 310, 272, 276?

Answer: LCM of 840, 423, 310, 272, 276 is 2871222480.

2. How to calculate the LCM of 840, 423, 310, 272, 276?

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, 423, 310, 272, 276.

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}.