LCM of 218, 144, 726, 656
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 144, 726, 656 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 218, 144, 726, 656. So, keep reading to learn more.
Given numbers are 218,144,726,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,144,726,656 is 77867856.
Find LCM of 218,144,726,656 with Prime Factorization
| 2 | 218, 144, 726, 656 |
| 2 | 109, 72, 363, 328 |
| 2 | 109, 36, 363, 164 |
| 2 | 109, 18, 363, 82 |
| 3 | 109, 9, 363, 41 |
| 109, 3, 121, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 109 x 3 x 121 x 41 = 77867856
Therefore, the lowest common multiple of 218,144,726,656 is 77867856.
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.
218 x 144 x 726 x 656 = 14950628352
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.
218 : 1, 2, 109, 218
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,144,726,656, is 2.
Now, the common factors can be found like this.
218:2x 109
144:2x 2x 2x 2x 3x 3
726:2x 3x 11x 11
656:2x 2x 2x 2x 41
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 3 = 96
Therefore, the value for common factors is 96.
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 = 14950628352/(2x96)
LCM = 14950628352/192
LCM = 77867856
Thus, we can understand that the LCM of 218,144,726,656 is 77867856.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 144, 726, 656
1. What is the LCM of 218, 144, 726, 656?
Answer: LCM of 218, 144, 726, 656 is 77867856.
2. How to calculate the LCM of 218, 144, 726, 656?
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 218, 144, 726, 656.
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}.