LCM of 352, 839, 652, 768, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 352, 839, 652, 768, 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 352, 839, 652, 768, 612. So, keep reading to learn more.
Given numbers are 352,839,652,768,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 352,839,652,768,612 is 58921479936.
Find LCM of 352,839,652,768,612 with Prime Factorization
| 2 | 352, 839, 652, 768, 612 |
| 2 | 176, 839, 326, 384, 306 |
| 2 | 88, 839, 163, 192, 153 |
| 2 | 44, 839, 163, 96, 153 |
| 2 | 22, 839, 163, 48, 153 |
| 3 | 11, 839, 163, 24, 153 |
| 11, 839, 163, 8, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 11 x 839 x 163 x 8 x 51 = 58921479936
Therefore, the lowest common multiple of 352,839,652,768,612 is 58921479936.
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.
352 x 839 x 652 x 768 x 612 = 90503393181696
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.
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
839 : 1, 839
652 : 1, 2, 4, 163, 326, 652
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
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 352,839,652,768,612, is 1.
Now, the common factors can be found like this.
352:2x 2x 2x 2x 2x 11
839:839
652:2x 2x 163
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 2x 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 90503393181696/(1x1536)
LCM = 90503393181696/1536
LCM = 58921479936
Thus, we can understand that the LCM of 352,839,652,768,612 is 58921479936.
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FAQs on LCM of 352, 839, 652, 768, 612
1. What is the LCM of 352, 839, 652, 768, 612?
Answer: LCM of 352, 839, 652, 768, 612 is 58921479936.
2. How to calculate the LCM of 352, 839, 652, 768, 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 352, 839, 652, 768, 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}.