LCM of 108, 818, 409, 513, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 108, 818, 409, 513, 550 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 108, 818, 409, 513, 550. So, keep reading to learn more.
Given numbers are 108,818,409,513,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 108,818,409,513,550 is 230798700.
Find LCM of 108,818,409,513,550 with Prime Factorization
| 2 | 108, 818, 409, 513, 550 |
| 3 | 54, 409, 409, 513, 275 |
| 3 | 18, 409, 409, 171, 275 |
| 3 | 6, 409, 409, 57, 275 |
| 409 | 2, 409, 409, 19, 275 |
| 2, 1, 1, 19, 275 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 409 x 2 x 1 x 1 x 19 x 275 = 230798700
Therefore, the lowest common multiple of 108,818,409,513,550 is 230798700.
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.
108 x 818 x 409 x 513 x 550 = 10194840176400
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.
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
818 : 1, 2, 409, 818
409 : 1, 409
513 : 1, 3, 9, 19, 27, 57, 171, 513
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,818,409,513,550, is 1.
Now, the common factors can be found like this.
108:2x 2x 3x 3x 3
818:2x 409
409:409
513:3x 3x 3x 19
550:2x 5x 5x 11
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 3x 3x 409 = 44172
Therefore, the value for common factors is 44172.
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 = 10194840176400/(1x44172)
LCM = 10194840176400/44172
LCM = 230798700
Thus, we can understand that the LCM of 108,818,409,513,550 is 230798700.
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FAQs on LCM of 108, 818, 409, 513, 550
1. What is the LCM of 108, 818, 409, 513, 550?
Answer: LCM of 108, 818, 409, 513, 550 is 230798700.
2. How to calculate the LCM of 108, 818, 409, 513, 550?
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 108, 818, 409, 513, 550.
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}.