LCM of 136, 218, 392, 841, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 136, 218, 392, 841, 612 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, 218, 392, 841, 612. So, keep reading to learn more.
Given numbers are 136,218,392,841,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 136,218,392,841,612 is 5497939944.
Find LCM of 136,218,392,841,612 with Prime Factorization
| 2 | 136, 218, 392, 841, 612 |
| 2 | 68, 109, 196, 841, 306 |
| 2 | 34, 109, 98, 841, 153 |
| 17 | 17, 109, 49, 841, 153 |
| 1, 109, 49, 841, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 1 x 109 x 49 x 841 x 9 = 5497939944
Therefore, the lowest common multiple of 136,218,392,841,612 is 5497939944.
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 218 x 392 x 841 x 612 = 5981758659072
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
218 : 1, 2, 109, 218
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
841 : 1, 29, 841
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,218,392,841,612, is 1.
Now, the common factors can be found like this.
136:2x 2x 2x 17
218:2x 109
392:2x 2x 2x 7x 7
841:29x 29
612:2x 2x 3x 3x 17
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 2x 2x 2x 17 = 1088
Therefore, the value for common factors is 1088.
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 = 5981758659072/(1x1088)
LCM = 5981758659072/1088
LCM = 5497939944
Thus, we can understand that the LCM of 136,218,392,841,612 is 5497939944.
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FAQs on LCM of 136, 218, 392, 841, 612
1. What is the LCM of 136, 218, 392, 841, 612?
Answer: LCM of 136, 218, 392, 841, 612 is 5497939944.
2. How to calculate the LCM of 136, 218, 392, 841, 612?
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, 218, 392, 841, 612.
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}.