LCM of 960, 519, 748, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 519, 748, 228 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 960, 519, 748, 228. So, keep reading to learn more.
Given numbers are 960,519,748,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,519,748,228 is 590082240.
Find LCM of 960,519,748,228 with Prime Factorization
| 2 | 960, 519, 748, 228 |
| 2 | 480, 519, 374, 114 |
| 3 | 240, 519, 187, 57 |
| 80, 173, 187, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 80 x 173 x 187 x 19 = 590082240
Therefore, the lowest common multiple of 960,519,748,228 is 590082240.
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.
960 x 519 x 748 x 228 = 84971842560
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.
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
519 : 1, 3, 173, 519
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,519,748,228, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
519:3x 173
748:2x 2x 11x 17
228:2x 2x 3x 19
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 2x 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 84971842560/(1x144)
LCM = 84971842560/144
LCM = 590082240
Thus, we can understand that the LCM of 960,519,748,228 is 590082240.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 960, 519, 748, 228
1. What is the LCM of 960, 519, 748, 228?
Answer: LCM of 960, 519, 748, 228 is 590082240.
2. How to calculate the LCM of 960, 519, 748, 228?
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 960, 519, 748, 228.
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}.