LCM of 158, 525, 900, 929, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 158, 525, 900, 929, 820 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 158, 525, 900, 929, 820. So, keep reading to learn more.
Given numbers are 158,525,900,929,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 158,525,900,929,820 is 18956895300.
Find LCM of 158,525,900,929,820 with Prime Factorization
| 2 | 158, 525, 900, 929, 820 |
| 2 | 79, 525, 450, 929, 410 |
| 3 | 79, 525, 225, 929, 205 |
| 5 | 79, 175, 75, 929, 205 |
| 5 | 79, 35, 15, 929, 41 |
| 79, 7, 3, 929, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 79 x 7 x 3 x 929 x 41 = 18956895300
Therefore, the lowest common multiple of 158,525,900,929,820 is 18956895300.
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.
158 x 525 x 900 x 929 x 820 = 56870685900000
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.
158 : 1, 2, 79, 158
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
929 : 1, 929
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,525,900,929,820, is 1.
Now, the common factors can be found like this.
158:2x 79
525:3x 5x 5x 7
900:2x 2x 3x 3x 5x 5
929:929
820:2x 2x 5x 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 3x 5x 5x 5 = 3000
Therefore, the value for common factors is 3000.
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 = 56870685900000/(1x3000)
LCM = 56870685900000/3000
LCM = 18956895300
Thus, we can understand that the LCM of 158,525,900,929,820 is 18956895300.
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FAQs on LCM of 158, 525, 900, 929, 820
1. What is the LCM of 158, 525, 900, 929, 820?
Answer: LCM of 158, 525, 900, 929, 820 is 18956895300.
2. How to calculate the LCM of 158, 525, 900, 929, 820?
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 158, 525, 900, 929, 820.
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}.