LCM of 276, 570, 390, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 276, 570, 390, 828 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 276, 570, 390, 828. So, keep reading to learn more.
Given numbers are 276,570,390,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,570,390,828 is 1022580.
Find LCM of 276,570,390,828 with Prime Factorization
| 2 | 276, 570, 390, 828 |
| 2 | 138, 285, 195, 414 |
| 3 | 69, 285, 195, 207 |
| 5 | 23, 95, 65, 69 |
| 23 | 23, 19, 13, 69 |
| 1, 19, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 1 x 19 x 13 x 3 = 1022580
Therefore, the lowest common multiple of 276,570,390,828 is 1022580.
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.
276 x 570 x 390 x 828 = 50801774400
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,570,390,828, is 6.
Now, the common factors can be found like this.
276:2x 2x 3x 23
570:2x 3x 5x 19
390:2x 3x 5x 13
828:2x 2x 3x 3x 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 2x 3x 3x 5x 23 = 8280
Therefore, the value for common factors is 8280.
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 = 50801774400/(6x8280)
LCM = 50801774400/49680
LCM = 1022580
Thus, we can understand that the LCM of 276,570,390,828 is 1022580.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 276, 570, 390, 828
1. What is the LCM of 276, 570, 390, 828?
Answer: LCM of 276, 570, 390, 828 is 1022580.
2. How to calculate the LCM of 276, 570, 390, 828?
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 276, 570, 390, 828.
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}.