LCM of 760, 228, 213, 359
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 228, 213, 359 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 760, 228, 213, 359. So, keep reading to learn more.
Given numbers are 760,228,213,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,228,213,359 is 58114920.
Find LCM of 760,228,213,359 with Prime Factorization
| 2 | 760, 228, 213, 359 |
| 2 | 380, 114, 213, 359 |
| 3 | 190, 57, 213, 359 |
| 19 | 190, 19, 71, 359 |
| 10, 1, 71, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 10 x 1 x 71 x 359 = 58114920
Therefore, the lowest common multiple of 760,228,213,359 is 58114920.
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.
760 x 228 x 213 x 359 = 13250201760
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
213 : 1, 3, 71, 213
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,228,213,359, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
228:2x 2x 3x 19
213:3x 71
359:359
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 3x 19 = 228
Therefore, the value for common factors is 228.
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 = 13250201760/(1x228)
LCM = 13250201760/228
LCM = 58114920
Thus, we can understand that the LCM of 760,228,213,359 is 58114920.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 760, 228, 213, 359
1. What is the LCM of 760, 228, 213, 359?
Answer: LCM of 760, 228, 213, 359 is 58114920.
2. How to calculate the LCM of 760, 228, 213, 359?
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 760, 228, 213, 359.
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}.