LCM of 131, 340, 598, 550, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 131, 340, 598, 550, 414 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 131, 340, 598, 550, 414. So, keep reading to learn more.
Given numbers are 131,340,598,550,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 131,340,598,550,414 is 6592142700.
Find LCM of 131,340,598,550,414 with Prime Factorization
| 2 | 131, 340, 598, 550, 414 |
| 5 | 131, 170, 299, 275, 207 |
| 23 | 131, 34, 299, 55, 207 |
| 131, 34, 13, 55, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 131 x 34 x 13 x 55 x 9 = 6592142700
Therefore, the lowest common multiple of 131,340,598,550,414 is 6592142700.
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.
131 x 340 x 598 x 550 x 414 = 6064771284000
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.
131 : 1, 131
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
598 : 1, 2, 13, 23, 26, 46, 299, 598
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,340,598,550,414, is 1.
Now, the common factors can be found like this.
131:131
340:2x 2x 5x 17
598:2x 13x 23
550:2x 5x 5x 11
414:2x 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 5x 23 = 920
Therefore, the value for common factors is 920.
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 = 6064771284000/(1x920)
LCM = 6064771284000/920
LCM = 6592142700
Thus, we can understand that the LCM of 131,340,598,550,414 is 6592142700.
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FAQs on LCM of 131, 340, 598, 550, 414
1. What is the LCM of 131, 340, 598, 550, 414?
Answer: LCM of 131, 340, 598, 550, 414 is 6592142700.
2. How to calculate the LCM of 131, 340, 598, 550, 414?
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 131, 340, 598, 550, 414.
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}.