LCM of 920, 110, 156, 874, 525
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 920, 110, 156, 874, 525 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 920, 110, 156, 874, 525. So, keep reading to learn more.
Given numbers are 920,110,156,874,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,110,156,874,525 is 262462200.
Find LCM of 920,110,156,874,525 with Prime Factorization
| 2 | 920, 110, 156, 874, 525 |
| 2 | 460, 55, 78, 437, 525 |
| 3 | 230, 55, 39, 437, 525 |
| 5 | 230, 55, 13, 437, 175 |
| 23 | 46, 11, 13, 437, 35 |
| 2, 11, 13, 19, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 2 x 11 x 13 x 19 x 35 = 262462200
Therefore, the lowest common multiple of 920,110,156,874,525 is 262462200.
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.
920 x 110 x 156 x 874 x 525 = 7243956720000
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
110 : 1, 2, 5, 10, 11, 22, 55, 110
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
874 : 1, 2, 19, 23, 38, 46, 437, 874
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,110,156,874,525, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
110:2x 5x 11
156:2x 2x 3x 13
874:2x 19x 23
525:3x 5x 5x 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 3x 5x 5x 23 = 27600
Therefore, the value for common factors is 27600.
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 = 7243956720000/(1x27600)
LCM = 7243956720000/27600
LCM = 262462200
Thus, we can understand that the LCM of 920,110,156,874,525 is 262462200.
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FAQs on LCM of 920, 110, 156, 874, 525
1. What is the LCM of 920, 110, 156, 874, 525?
Answer: LCM of 920, 110, 156, 874, 525 is 262462200.
2. How to calculate the LCM of 920, 110, 156, 874, 525?
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 920, 110, 156, 874, 525.
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}.