Given numbers are 540,276,254,192,201

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

The LCM of 540,276,254,192,201 is 1690908480.

Find LCM of 540,276,254,192,201 with Prime Factorization

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

2 x 2 x 3 x 45 x 23 x 127 x 16 x 67 = 1690908480

Therefore, the lowest common multiple of 540,276,254,192,201 is 1690908480.

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.

540 x 276 x 254 x 192 x 201 = 1460944926720

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.

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

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

254 : 1, 2, 127, 254

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,276,254,192,201, is 1.

Now, the common factors can be found like this.

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

276:2x 2x 3x 23

254:2x 127

192:2x 2x 2x 2x 2x 2x 3

201:3x 67

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 1460944926720/(1x864)

LCM = 1460944926720/864

LCM = 1690908480

Thus, we can understand that the LCM of 540,276,254,192,201 is 1690908480.

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

• LCM of 642, 446, 315, 375, 944
• LCM of 723, 160, 786, 169, 459
• LCM of 625, 866, 282, 794, 629
• LCM of 447, 460, 718, 379, 334
• LCM of 936, 780, 722, 630, 208

1. What is the LCM of 540, 276, 254, 192, 201?

Answer: LCM of 540, 276, 254, 192, 201 is 1690908480.

2. How to calculate the LCM of 540, 276, 254, 192, 201?

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 540, 276, 254, 192, 201.

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}.