LCM of 273, 299, 851, 883, 213
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 273, 299, 851, 883, 213 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 273, 299, 851, 883, 213. So, keep reading to learn more.
Given numbers are 273,299,851,883,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,299,851,883,213 is 14565025839.
Find LCM of 273,299,851,883,213 with Prime Factorization
| 3 | 273, 299, 851, 883, 213 |
| 13 | 91, 299, 851, 883, 71 |
| 23 | 7, 23, 851, 883, 71 |
| 7, 1, 37, 883, 71 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 23 x 7 x 1 x 37 x 883 x 71 = 14565025839
Therefore, the lowest common multiple of 273,299,851,883,213 is 14565025839.
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.
273 x 299 x 851 x 883 x 213 = 13064828177583
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.
273 : 1, 3, 7, 13, 21, 39, 91, 273
299 : 1, 13, 23, 299
851 : 1, 23, 37, 851
883 : 1, 883
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,299,851,883,213, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
299:13x 23
851:23x 37
883:883
213:3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 23 = 897
Therefore, the value for common factors is 897.
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 = 13064828177583/(1x897)
LCM = 13064828177583/897
LCM = 14565025839
Thus, we can understand that the LCM of 273,299,851,883,213 is 14565025839.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 273, 299, 851, 883, 213
1. What is the LCM of 273, 299, 851, 883, 213?
Answer: LCM of 273, 299, 851, 883, 213 is 14565025839.
2. How to calculate the LCM of 273, 299, 851, 883, 213?
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 273, 299, 851, 883, 213.
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}.