LCM of 813, 510, 340, 409, 372
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 510, 340, 409, 372 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 813, 510, 340, 409, 372. So, keep reading to learn more.
Given numbers are 813,510,340,409,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,510,340,409,372 is 3504729180.
Find LCM of 813,510,340,409,372 with Prime Factorization
| 2 | 813, 510, 340, 409, 372 |
| 2 | 813, 255, 170, 409, 186 |
| 3 | 813, 255, 85, 409, 93 |
| 5 | 271, 85, 85, 409, 31 |
| 17 | 271, 17, 17, 409, 31 |
| 271, 1, 1, 409, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 271 x 1 x 1 x 409 x 31 = 3504729180
Therefore, the lowest common multiple of 813,510,340,409,372 is 3504729180.
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.
813 x 510 x 340 x 409 x 372 = 21448942581600
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.
813 : 1, 3, 271, 813
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
409 : 1, 409
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,510,340,409,372, is 1.
Now, the common factors can be found like this.
813:3x 271
510:2x 3x 5x 17
340:2x 2x 5x 17
409:409
372:2x 2x 3x 31
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 17 = 6120
Therefore, the value for common factors is 6120.
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 = 21448942581600/(1x6120)
LCM = 21448942581600/6120
LCM = 3504729180
Thus, we can understand that the LCM of 813,510,340,409,372 is 3504729180.
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FAQs on LCM of 813, 510, 340, 409, 372
1. What is the LCM of 813, 510, 340, 409, 372?
Answer: LCM of 813, 510, 340, 409, 372 is 3504729180.
2. How to calculate the LCM of 813, 510, 340, 409, 372?
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 813, 510, 340, 409, 372.
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}.