LCM of 820, 960, 220, 736, 191
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 820, 960, 220, 736, 191 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 820, 960, 220, 736, 191. So, keep reading to learn more.
Given numbers are 820,960,220,736,191
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,960,220,736,191 is 1901993280.
Find LCM of 820,960,220,736,191 with Prime Factorization
| 2 | 820, 960, 220, 736, 191 |
| 2 | 410, 480, 110, 368, 191 |
| 2 | 205, 240, 55, 184, 191 |
| 2 | 205, 120, 55, 92, 191 |
| 2 | 205, 60, 55, 46, 191 |
| 5 | 205, 30, 55, 23, 191 |
| 41, 6, 11, 23, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 41 x 6 x 11 x 23 x 191 = 1901993280
Therefore, the lowest common multiple of 820,960,220,736,191 is 1901993280.
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.
820 x 960 x 220 x 736 x 191 = 24345513984000
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.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
191 : 1, 191
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,960,220,736,191, is 1.
Now, the common factors can be found like this.
820:2x 2x 5x 41
960:2x 2x 2x 2x 2x 2x 3x 5
220:2x 2x 5x 11
736:2x 2x 2x 2x 2x 23
191:191
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 2x 2x 2x 2x 5x 5 = 12800
Therefore, the value for common factors is 12800.
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 = 24345513984000/(1x12800)
LCM = 24345513984000/12800
LCM = 1901993280
Thus, we can understand that the LCM of 820,960,220,736,191 is 1901993280.
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FAQs on LCM of 820, 960, 220, 736, 191
1. What is the LCM of 820, 960, 220, 736, 191?
Answer: LCM of 820, 960, 220, 736, 191 is 1901993280.
2. How to calculate the LCM of 820, 960, 220, 736, 191?
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 820, 960, 220, 736, 191.
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}.