LCM of 762, 142, 810, 213, 525
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 142, 810, 213, 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 762, 142, 810, 213, 525. So, keep reading to learn more.
Given numbers are 762,142,810,213,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,142,810,213,525 is 255631950.
Find LCM of 762,142,810,213,525 with Prime Factorization
| 2 | 762, 142, 810, 213, 525 |
| 3 | 381, 71, 405, 213, 525 |
| 5 | 127, 71, 135, 71, 175 |
| 71 | 127, 71, 27, 71, 35 |
| 127, 1, 27, 1, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 71 x 127 x 1 x 27 x 1 x 35 = 255631950
Therefore, the lowest common multiple of 762,142,810,213,525 is 255631950.
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.
762 x 142 x 810 x 213 x 525 = 9800928963000
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
142 : 1, 2, 71, 142
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
213 : 1, 3, 71, 213
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 762,142,810,213,525, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
142:2x 71
810:2x 3x 3x 3x 3x 5
213:3x 71
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 3x 3x 3x 5x 71 = 38340
Therefore, the value for common factors is 38340.
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 = 9800928963000/(1x38340)
LCM = 9800928963000/38340
LCM = 255631950
Thus, we can understand that the LCM of 762,142,810,213,525 is 255631950.
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FAQs on LCM of 762, 142, 810, 213, 525
1. What is the LCM of 762, 142, 810, 213, 525?
Answer: LCM of 762, 142, 810, 213, 525 is 255631950.
2. How to calculate the LCM of 762, 142, 810, 213, 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 762, 142, 810, 213, 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}.