Given numbers are 990,229,170,269

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

The LCM of 990,229,170,269 is 1036744830.

Find LCM of 990,229,170,269 with Prime Factorization

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

2 x 5 x 99 x 229 x 17 x 269 = 1036744830

Therefore, the lowest common multiple of 990,229,170,269 is 1036744830.

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.

990 x 229 x 170 x 269 = 10367448300

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.

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

229 : 1, 229

170 : 1, 2, 5, 10, 17, 34, 85, 170

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,229,170,269, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

229:229

170:2x 5x 17

269:269

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 10367448300/(1x10)

LCM = 10367448300/10

LCM = 1036744830

Thus, we can understand that the LCM of 990,229,170,269 is 1036744830.

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

• LCM of 413, 494, 156, 953
• LCM of 186, 353, 259, 576
• LCM of 221, 795, 858, 271
• LCM of 702, 529, 509, 774
• LCM of 212, 976, 575, 944

1. What is the LCM of 990, 229, 170, 269?

Answer: LCM of 990, 229, 170, 269 is 1036744830.

2. How to calculate the LCM of 990, 229, 170, 269?

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 990, 229, 170, 269.

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}.