LCM of 136, 619, 407, 420, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 136, 619, 407, 420, 814 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 136, 619, 407, 420, 814. So, keep reading to learn more.
Given numbers are 136,619,407,420,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 136,619,407,420,814 is 3597603240.
Find LCM of 136,619,407,420,814 with Prime Factorization
| 2 | 136, 619, 407, 420, 814 |
| 2 | 68, 619, 407, 210, 407 |
| 11 | 34, 619, 407, 105, 407 |
| 37 | 34, 619, 37, 105, 37 |
| 34, 619, 1, 105, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 37 x 34 x 619 x 1 x 105 x 1 = 3597603240
Therefore, the lowest common multiple of 136,619,407,420,814 is 3597603240.
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.
136 x 619 x 407 x 420 x 814 = 11713796149440
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.
136 : 1, 2, 4, 8, 17, 34, 68, 136
619 : 1, 619
407 : 1, 11, 37, 407
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,619,407,420,814, is 1.
Now, the common factors can be found like this.
136:2x 2x 2x 17
619:619
407:11x 37
420:2x 2x 3x 5x 7
814:2x 11x 37
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 11x 37 = 3256
Therefore, the value for common factors is 3256.
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 = 11713796149440/(1x3256)
LCM = 11713796149440/3256
LCM = 3597603240
Thus, we can understand that the LCM of 136,619,407,420,814 is 3597603240.
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FAQs on LCM of 136, 619, 407, 420, 814
1. What is the LCM of 136, 619, 407, 420, 814?
Answer: LCM of 136, 619, 407, 420, 814 is 3597603240.
2. How to calculate the LCM of 136, 619, 407, 420, 814?
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 136, 619, 407, 420, 814.
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}.