LCM of 159, 995, 600, 600, 527
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 159, 995, 600, 600, 527 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 159, 995, 600, 600, 527. So, keep reading to learn more.
Given numbers are 159,995,600,600,527
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,995,600,600,527 is 3334961400.
Find LCM of 159,995,600,600,527 with Prime Factorization
| 2 | 159, 995, 600, 600, 527 |
| 2 | 159, 995, 300, 300, 527 |
| 2 | 159, 995, 150, 150, 527 |
| 3 | 159, 995, 75, 75, 527 |
| 5 | 53, 995, 25, 25, 527 |
| 5 | 53, 199, 5, 5, 527 |
| 53, 199, 1, 1, 527 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 53 x 199 x 1 x 1 x 527 = 3334961400
Therefore, the lowest common multiple of 159,995,600,600,527 is 3334961400.
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.
159 x 995 x 600 x 600 x 527 = 30014652600000
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.
159 : 1, 3, 53, 159
995 : 1, 5, 199, 995
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
527 : 1, 17, 31, 527
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,995,600,600,527, is 1.
Now, the common factors can be found like this.
159:3x 53
995:5x 199
600:2x 2x 2x 3x 5x 5
600:2x 2x 2x 3x 5x 5
527:17x 31
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 3x 3x 5x 5x 5 = 9000
Therefore, the value for common factors is 9000.
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 = 30014652600000/(1x9000)
LCM = 30014652600000/9000
LCM = 3334961400
Thus, we can understand that the LCM of 159,995,600,600,527 is 3334961400.
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FAQs on LCM of 159, 995, 600, 600, 527
1. What is the LCM of 159, 995, 600, 600, 527?
Answer: LCM of 159, 995, 600, 600, 527 is 3334961400.
2. How to calculate the LCM of 159, 995, 600, 600, 527?
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 159, 995, 600, 600, 527.
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}.