Given numbers are 276,540,624,350

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

The LCM of 276,540,624,350 is 22604400.

Find LCM of 276,540,624,350 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 9 x 52 x 35 = 22604400

Therefore, the lowest common multiple of 276,540,624,350 is 22604400.

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 540 x 624 x 350 = 32550336000

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,540,624,350, is 2.

Now, the common factors can be found like this.

276:2x 2x 3x 23

540:2x 2x 3x 3x 3x 5

624:2x 2x 2x 2x 3x 13

350:2x 5x 5x 7

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 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 32550336000/(2x720)

LCM = 32550336000/1440

LCM = 22604400

Thus, we can understand that the LCM of 276,540,624,350 is 22604400.

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

• LCM of 956, 385, 875, 404
• LCM of 491, 931, 794, 650
• LCM of 210, 324, 194, 917
• LCM of 384, 464, 471, 105
• LCM of 251, 949, 157, 284

1. What is the LCM of 276, 540, 624, 350?

Answer: LCM of 276, 540, 624, 350 is 22604400.

2. How to calculate the LCM of 276, 540, 624, 350?

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, 540, 624, 350.

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}.