LCM of 221, 783, 964, 459, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 783, 964, 459, 765 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 221, 783, 964, 459, 765. So, keep reading to learn more.
Given numbers are 221,783,964,459,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,783,964,459,765 is 834067260.
Find LCM of 221,783,964,459,765 with Prime Factorization
| 3 | 221, 783, 964, 459, 765 |
| 3 | 221, 261, 964, 153, 255 |
| 3 | 221, 87, 964, 51, 85 |
| 17 | 221, 29, 964, 17, 85 |
| 13, 29, 964, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 17 x 13 x 29 x 964 x 1 x 5 = 834067260
Therefore, the lowest common multiple of 221,783,964,459,765 is 834067260.
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.
221 x 783 x 964 x 459 x 765 = 58574041468020
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.
221 : 1, 13, 17, 221
783 : 1, 3, 9, 27, 29, 87, 261, 783
964 : 1, 2, 4, 241, 482, 964
459 : 1, 3, 9, 17, 27, 51, 153, 459
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,783,964,459,765, is 1.
Now, the common factors can be found like this.
221:13x 17
783:3x 3x 3x 29
964:2x 2x 241
459:3x 3x 3x 17
765:3x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 17x 17 = 70227
Therefore, the value for common factors is 70227.
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 = 58574041468020/(1x70227)
LCM = 58574041468020/70227
LCM = 834067260
Thus, we can understand that the LCM of 221,783,964,459,765 is 834067260.
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FAQs on LCM of 221, 783, 964, 459, 765
1. What is the LCM of 221, 783, 964, 459, 765?
Answer: LCM of 221, 783, 964, 459, 765 is 834067260.
2. How to calculate the LCM of 221, 783, 964, 459, 765?
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 221, 783, 964, 459, 765.
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}.