LCM of 652, 836, 988, 160, 469
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 836, 988, 160, 469 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 652, 836, 988, 160, 469. So, keep reading to learn more.
Given numbers are 652,836,988,160,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,836,988,160,469 is 33233039840.
Find LCM of 652,836,988,160,469 with Prime Factorization
| 2 | 652, 836, 988, 160, 469 |
| 2 | 326, 418, 494, 80, 469 |
| 19 | 163, 209, 247, 40, 469 |
| 163, 11, 13, 40, 469 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 163 x 11 x 13 x 40 x 469 = 33233039840
Therefore, the lowest common multiple of 652,836,988,160,469 is 33233039840.
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.
652 x 836 x 988 x 160 x 469 = 40411376445440
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.
652 : 1, 2, 4, 163, 326, 652
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,836,988,160,469, is 1.
Now, the common factors can be found like this.
652:2x 2x 163
836:2x 2x 11x 19
988:2x 2x 13x 19
160:2x 2x 2x 2x 2x 5
469:7x 67
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 19 = 1216
Therefore, the value for common factors is 1216.
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 = 40411376445440/(1x1216)
LCM = 40411376445440/1216
LCM = 33233039840
Thus, we can understand that the LCM of 652,836,988,160,469 is 33233039840.
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FAQs on LCM of 652, 836, 988, 160, 469
1. What is the LCM of 652, 836, 988, 160, 469?
Answer: LCM of 652, 836, 988, 160, 469 is 33233039840.
2. How to calculate the LCM of 652, 836, 988, 160, 469?
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 652, 836, 988, 160, 469.
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}.