LCM of 690, 156, 440, 911, 413
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 156, 440, 911, 413 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 690, 156, 440, 911, 413. So, keep reading to learn more.
Given numbers are 690,156,440,911,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,156,440,911,413 is 148495587240.
Find LCM of 690,156,440,911,413 with Prime Factorization
| 2 | 690, 156, 440, 911, 413 |
| 2 | 345, 78, 220, 911, 413 |
| 3 | 345, 39, 110, 911, 413 |
| 5 | 115, 13, 110, 911, 413 |
| 23, 13, 22, 911, 413 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 13 x 22 x 911 x 413 = 148495587240
Therefore, the lowest common multiple of 690,156,440,911,413 is 148495587240.
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.
690 x 156 x 440 x 911 x 413 = 17819470468800
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
911 : 1, 911
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,156,440,911,413, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
156:2x 2x 3x 13
440:2x 2x 2x 5x 11
911:911
413:7x 59
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 5 = 120
Therefore, the value for common factors is 120.
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 = 17819470468800/(1x120)
LCM = 17819470468800/120
LCM = 148495587240
Thus, we can understand that the LCM of 690,156,440,911,413 is 148495587240.
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FAQs on LCM of 690, 156, 440, 911, 413
1. What is the LCM of 690, 156, 440, 911, 413?
Answer: LCM of 690, 156, 440, 911, 413 is 148495587240.
2. How to calculate the LCM of 690, 156, 440, 911, 413?
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 690, 156, 440, 911, 413.
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}.