LCM of 979, 820, 328, 234, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 820, 328, 234, 468 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 979, 820, 328, 234, 468. So, keep reading to learn more.
Given numbers are 979,820,328,234,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,820,328,234,468 is 187850520.
Find LCM of 979,820,328,234,468 with Prime Factorization
| 2 | 979, 820, 328, 234, 468 |
| 2 | 979, 410, 164, 117, 234 |
| 3 | 979, 205, 82, 117, 117 |
| 3 | 979, 205, 82, 39, 39 |
| 13 | 979, 205, 82, 13, 13 |
| 41 | 979, 205, 82, 1, 1 |
| 979, 5, 2, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 41 x 979 x 5 x 2 x 1 x 1 = 187850520
Therefore, the lowest common multiple of 979,820,328,234,468 is 187850520.
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.
979 x 820 x 328 x 234 x 468 = 28835806222080
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.
979 : 1, 11, 89, 979
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
328 : 1, 2, 4, 8, 41, 82, 164, 328
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,820,328,234,468, is 1.
Now, the common factors can be found like this.
979:11x 89
820:2x 2x 5x 41
328:2x 2x 2x 41
234:2x 3x 3x 13
468:2x 2x 3x 3x 13
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 2x 3x 3x 13x 41 = 153504
Therefore, the value for common factors is 153504.
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 = 28835806222080/(1x153504)
LCM = 28835806222080/153504
LCM = 187850520
Thus, we can understand that the LCM of 979,820,328,234,468 is 187850520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 979, 820, 328, 234, 468
1. What is the LCM of 979, 820, 328, 234, 468?
Answer: LCM of 979, 820, 328, 234, 468 is 187850520.
2. How to calculate the LCM of 979, 820, 328, 234, 468?
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 979, 820, 328, 234, 468.
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}.