Given numbers are 195,254,290,394

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

The LCM of 195,254,290,394 is 282964890.

Find LCM of 195,254,290,394 with Prime Factorization

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

2 x 5 x 39 x 127 x 29 x 197 = 282964890

Therefore, the lowest common multiple of 195,254,290,394 is 282964890.

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.

195 x 254 x 290 x 394 = 5659297800

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.

195 : 1, 3, 5, 13, 15, 39, 65, 195

254 : 1, 2, 127, 254

290 : 1, 2, 5, 10, 29, 58, 145, 290

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,254,290,394, is 1.

Now, the common factors can be found like this.

195:3x 5x 13

254:2x 127

290:2x 5x 29

394:2x 197

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 = 5659297800/(1x20)

LCM = 5659297800/20

LCM = 282964890

Thus, we can understand that the LCM of 195,254,290,394 is 282964890.

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

• LCM of 514, 544, 320, 410
• LCM of 653, 237, 660, 277
• LCM of 643, 976, 661, 424
• LCM of 706, 824, 975, 364
• LCM of 573, 942, 449, 484

1. What is the LCM of 195, 254, 290, 394?

Answer: LCM of 195, 254, 290, 394 is 282964890.

2. How to calculate the LCM of 195, 254, 290, 394?

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 195, 254, 290, 394.

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}.