LCM of 958, 564, 563, 838, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 564, 563, 838, 168 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 958, 564, 563, 838, 168. So, keep reading to learn more.
Given numbers are 958,564,563,838,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,564,563,838,168 is 892205859048.
Find LCM of 958,564,563,838,168 with Prime Factorization
| 2 | 958, 564, 563, 838, 168 |
| 2 | 479, 282, 563, 419, 84 |
| 3 | 479, 141, 563, 419, 42 |
| 479, 47, 563, 419, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 479 x 47 x 563 x 419 x 14 = 892205859048
Therefore, the lowest common multiple of 958,564,563,838,168 is 892205859048.
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.
958 x 564 x 563 x 838 x 168 = 42825881234304
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.
958 : 1, 2, 479, 958
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
563 : 1, 563
838 : 1, 2, 419, 838
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,564,563,838,168, is 1.
Now, the common factors can be found like this.
958:2x 479
564:2x 2x 3x 47
563:563
838:2x 419
168:2x 2x 2x 3x 7
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 3 = 48
Therefore, the value for common factors is 48.
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 = 42825881234304/(1x48)
LCM = 42825881234304/48
LCM = 892205859048
Thus, we can understand that the LCM of 958,564,563,838,168 is 892205859048.
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FAQs on LCM of 958, 564, 563, 838, 168
1. What is the LCM of 958, 564, 563, 838, 168?
Answer: LCM of 958, 564, 563, 838, 168 is 892205859048.
2. How to calculate the LCM of 958, 564, 563, 838, 168?
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 958, 564, 563, 838, 168.
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}.