Given numbers are 229,116,290,486,299

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

The LCM of 229,116,290,486,299 is 9650302740.

Find LCM of 229,116,290,486,299 with Prime Factorization

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

2 x 29 x 229 x 2 x 5 x 243 x 299 = 9650302740

Therefore, the lowest common multiple of 229,116,290,486,299 is 9650302740.

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.

229 x 116 x 290 x 486 x 299 = 1119435117840

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.

229 : 1, 229

116 : 1, 2, 4, 29, 58, 116

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

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,116,290,486,299, is 1.

Now, the common factors can be found like this.

229:229

116:2x 2x 29

290:2x 5x 29

486:2x 3x 3x 3x 3x 3

299:13x 23

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 29 = 116

Therefore, the value for common factors is 116.

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 = 1119435117840/(1x116)

LCM = 1119435117840/116

LCM = 9650302740

Thus, we can understand that the LCM of 229,116,290,486,299 is 9650302740.

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

• LCM of 233, 263, 648, 177, 963
• LCM of 895, 759, 441, 182, 433
• LCM of 862, 898, 528, 443, 188
• LCM of 858, 661, 250, 152, 817
• LCM of 656, 790, 143, 435, 844

1. What is the LCM of 229, 116, 290, 486, 299?

Answer: LCM of 229, 116, 290, 486, 299 is 9650302740.

2. How to calculate the LCM of 229, 116, 290, 486, 299?

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 229, 116, 290, 486, 299.

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}.