LCM of 429, 323, 429, 730, 222
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 323, 429, 730, 222 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 429, 323, 429, 730, 222. So, keep reading to learn more.
Given numbers are 429,323,429,730,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,323,429,730,222 is 3742694670.
Find LCM of 429,323,429,730,222 with Prime Factorization
| 2 | 429, 323, 429, 730, 222 |
| 3 | 429, 323, 429, 365, 111 |
| 11 | 143, 323, 143, 365, 37 |
| 13 | 13, 323, 13, 365, 37 |
| 1, 323, 1, 365, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 1 x 323 x 1 x 365 x 37 = 3742694670
Therefore, the lowest common multiple of 429,323,429,730,222 is 3742694670.
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.
429 x 323 x 429 x 730 x 222 = 9633696080580
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
323 : 1, 17, 19, 323
429 : 1, 3, 11, 13, 33, 39, 143, 429
730 : 1, 2, 5, 10, 73, 146, 365, 730
222 : 1, 2, 3, 6, 37, 74, 111, 222
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,323,429,730,222, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
323:17x 19
429:3x 11x 13
730:2x 5x 73
222:2x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 13 = 2574
Therefore, the value for common factors is 2574.
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 = 9633696080580/(1x2574)
LCM = 9633696080580/2574
LCM = 3742694670
Thus, we can understand that the LCM of 429,323,429,730,222 is 3742694670.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 429, 323, 429, 730, 222
1. What is the LCM of 429, 323, 429, 730, 222?
Answer: LCM of 429, 323, 429, 730, 222 is 3742694670.
2. How to calculate the LCM of 429, 323, 429, 730, 222?
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 429, 323, 429, 730, 222.
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}.