LCM of 681, 754, 990, 225, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 681, 754, 990, 225, 418 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 681, 754, 990, 225, 418. So, keep reading to learn more.
Given numbers are 681,754,990,225,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,754,990,225,418 is 8048704950.
Find LCM of 681,754,990,225,418 with Prime Factorization
| 2 | 681, 754, 990, 225, 418 |
| 3 | 681, 377, 495, 225, 209 |
| 3 | 227, 377, 165, 75, 209 |
| 5 | 227, 377, 55, 25, 209 |
| 11 | 227, 377, 11, 5, 209 |
| 227, 377, 1, 5, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 227 x 377 x 1 x 5 x 19 = 8048704950
Therefore, the lowest common multiple of 681,754,990,225,418 is 8048704950.
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.
681 x 754 x 990 x 225 x 418 = 47809307403000
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.
681 : 1, 3, 227, 681
754 : 1, 2, 13, 26, 29, 58, 377, 754
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,754,990,225,418, is 1.
Now, the common factors can be found like this.
681:3x 227
754:2x 13x 29
990:2x 3x 3x 5x 11
225:3x 3x 5x 5
418:2x 11x 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 3x 3x 3x 5x 11 = 5940
Therefore, the value for common factors is 5940.
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 = 47809307403000/(1x5940)
LCM = 47809307403000/5940
LCM = 8048704950
Thus, we can understand that the LCM of 681,754,990,225,418 is 8048704950.
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FAQs on LCM of 681, 754, 990, 225, 418
1. What is the LCM of 681, 754, 990, 225, 418?
Answer: LCM of 681, 754, 990, 225, 418 is 8048704950.
2. How to calculate the LCM of 681, 754, 990, 225, 418?
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 681, 754, 990, 225, 418.
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}.