Given numbers are 692,130,260,208

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

The LCM of 692,130,260,208 is 179920.

Find LCM of 692,130,260,208 with Prime Factorization

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

2 x 2 x 5 x 13 x 173 x 1 x 1 x 4 = 179920

Therefore, the lowest common multiple of 692,130,260,208 is 179920.

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.

692 x 130 x 260 x 208 = 4865036800

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.

692 : 1, 2, 4, 173, 346, 692

130 : 1, 2, 5, 10, 13, 26, 65, 130

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,130,260,208, is 2.

Now, the common factors can be found like this.

692:2x 2x 173

130:2x 5x 13

260:2x 2x 5x 13

208:2x 2x 2x 2x 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 2x 2x 5x 13x 13 = 13520

Therefore, the value for common factors is 13520.

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 = 4865036800/(2x13520)

LCM = 4865036800/27040

LCM = 179920

Thus, we can understand that the LCM of 692,130,260,208 is 179920.

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

• LCM of 293, 333, 719, 302
• LCM of 830, 624, 396, 975
• LCM of 152, 689, 459, 129
• LCM of 267, 938, 982, 389
• LCM of 805, 899, 922, 279

1. What is the LCM of 692, 130, 260, 208?

Answer: LCM of 692, 130, 260, 208 is 179920.

2. How to calculate the LCM of 692, 130, 260, 208?

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 692, 130, 260, 208.

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}.