LCM of 964, 185, 281, 510, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 185, 281, 510, 221 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 964, 185, 281, 510, 221. So, keep reading to learn more.
Given numbers are 964,185,281,510,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,185,281,510,221 is 33225277020.
Find LCM of 964,185,281,510,221 with Prime Factorization
| 2 | 964, 185, 281, 510, 221 |
| 5 | 482, 185, 281, 255, 221 |
| 17 | 482, 37, 281, 51, 221 |
| 482, 37, 281, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 482 x 37 x 281 x 3 x 13 = 33225277020
Therefore, the lowest common multiple of 964,185,281,510,221 is 33225277020.
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.
964 x 185 x 281 x 510 x 221 = 5648297093400
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.
964 : 1, 2, 4, 241, 482, 964
185 : 1, 5, 37, 185
281 : 1, 281
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,185,281,510,221, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
185:5x 37
281:281
510:2x 3x 5x 17
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17 = 170
Therefore, the value for common factors is 170.
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 = 5648297093400/(1x170)
LCM = 5648297093400/170
LCM = 33225277020
Thus, we can understand that the LCM of 964,185,281,510,221 is 33225277020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 185, 281, 510, 221
1. What is the LCM of 964, 185, 281, 510, 221?
Answer: LCM of 964, 185, 281, 510, 221 is 33225277020.
2. How to calculate the LCM of 964, 185, 281, 510, 221?
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 964, 185, 281, 510, 221.
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}.