Given numbers are 603,214,247,276,460

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

The LCM of 603,214,247,276,460 is 7330876020.

Find LCM of 603,214,247,276,460 with Prime Factorization

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

2 x 2 x 3 x 23 x 201 x 107 x 247 x 1 x 5 = 7330876020

Therefore, the lowest common multiple of 603,214,247,276,460 is 7330876020.

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.

603 x 214 x 247 x 276 x 460 = 4046643563040

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.

603 : 1, 3, 9, 67, 201, 603

214 : 1, 2, 107, 214

247 : 1, 13, 19, 247

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 603,214,247,276,460, is 1.

Now, the common factors can be found like this.

603:3x 3x 67

214:2x 107

247:13x 19

276:2x 2x 3x 23

460:2x 2x 5x 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 3x 23 = 552

Therefore, the value for common factors is 552.

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 = 4046643563040/(1x552)

LCM = 4046643563040/552

LCM = 7330876020

Thus, we can understand that the LCM of 603,214,247,276,460 is 7330876020.

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

• LCM of 644, 321, 647, 712, 332
• LCM of 119, 408, 673, 925, 687
• LCM of 785, 422, 335, 652, 509
• LCM of 832, 575, 707, 964, 909
• LCM of 450, 696, 246, 260, 459

1. What is the LCM of 603, 214, 247, 276, 460?

Answer: LCM of 603, 214, 247, 276, 460 is 7330876020.

2. How to calculate the LCM of 603, 214, 247, 276, 460?

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 603, 214, 247, 276, 460.

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}.