Given numbers are 280,338,552,902

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

The LCM of 280,338,552,902 is 1472551080.

Find LCM of 280,338,552,902 with Prime Factorization

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

2 x 2 x 2 x 35 x 169 x 69 x 451 = 1472551080

Therefore, the lowest common multiple of 280,338,552,902 is 1472551080.

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.

280 x 338 x 552 x 902 = 47121634560

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.

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

902 : 1, 2, 11, 22, 41, 82, 451, 902

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,338,552,902, is 2.

Now, the common factors can be found like this.

280:2x 2x 2x 5x 7

338:2x 13x 13

552:2x 2x 2x 3x 23

902:2x 11x 41

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 2 = 16

Therefore, the value for common factors is 16.

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 = 47121634560/(2x16)

LCM = 47121634560/32

LCM = 1472551080

Thus, we can understand that the LCM of 280,338,552,902 is 1472551080.

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

• LCM of 612, 859, 676, 215
• LCM of 369, 332, 870, 779
• LCM of 152, 178, 597, 671
• LCM of 539, 213, 606, 650
• LCM of 804, 692, 967, 272

1. What is the LCM of 280, 338, 552, 902?

Answer: LCM of 280, 338, 552, 902 is 1472551080.

2. How to calculate the LCM of 280, 338, 552, 902?

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 280, 338, 552, 902.

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}.