Given numbers are 361,207,100,292

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

The LCM of 361,207,100,292 is 545507100.

Find LCM of 361,207,100,292 with Prime Factorization

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

2 x 2 x 361 x 207 x 25 x 73 = 545507100

Therefore, the lowest common multiple of 361,207,100,292 is 545507100.

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.

361 x 207 x 100 x 292 = 2182028400

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.

361 : 1, 19, 361

207 : 1, 3, 9, 23, 69, 207

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

292 : 1, 2, 4, 73, 146, 292

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,207,100,292, is 1.

Now, the common factors can be found like this.

361:19x 19

207:3x 3x 23

100:2x 2x 5x 5

292:2x 2x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2182028400/(1x4)

LCM = 2182028400/4

LCM = 545507100

Thus, we can understand that the LCM of 361,207,100,292 is 545507100.

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

• LCM of 568, 698, 115, 134
• LCM of 480, 204, 689, 504
• LCM of 700, 203, 261, 217
• LCM of 540, 184, 195, 379
• LCM of 539, 432, 883, 195

1. What is the LCM of 361, 207, 100, 292?

Answer: LCM of 361, 207, 100, 292 is 545507100.

2. How to calculate the LCM of 361, 207, 100, 292?

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 361, 207, 100, 292.

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}.