Given numbers are 270,640,199,338

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

The LCM of 270,640,199,338 is 581143680.

Find LCM of 270,640,199,338 with Prime Factorization

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

2 x 5 x 27 x 64 x 199 x 169 = 581143680

Therefore, the lowest common multiple of 270,640,199,338 is 581143680.

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.

270 x 640 x 199 x 338 = 11622873600

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

199 : 1, 199

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,640,199,338, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

640:2x 2x 2x 2x 2x 2x 2x 5

199:199

338:2x 13x 13

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 5 = 20

Therefore, the value for common factors is 20.

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 = 11622873600/(1x20)

LCM = 11622873600/20

LCM = 581143680

Thus, we can understand that the LCM of 270,640,199,338 is 581143680.

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

• LCM of 904, 278, 120, 414
• LCM of 668, 158, 856, 373
• LCM of 132, 354, 610, 607
• LCM of 959, 201, 576, 221
• LCM of 703, 165, 152, 286

1. What is the LCM of 270, 640, 199, 338?

Answer: LCM of 270, 640, 199, 338 is 581143680.

2. How to calculate the LCM of 270, 640, 199, 338?

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 270, 640, 199, 338.

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}.