LCM of 816, 261, 232, 546, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 261, 232, 546, 735 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 816, 261, 232, 546, 735. So, keep reading to learn more.
Given numbers are 816,261,232,546,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,261,232,546,735 is 226109520.
Find LCM of 816,261,232,546,735 with Prime Factorization
| 2 | 816, 261, 232, 546, 735 |
| 2 | 408, 261, 116, 273, 735 |
| 2 | 204, 261, 58, 273, 735 |
| 3 | 102, 261, 29, 273, 735 |
| 7 | 34, 87, 29, 91, 245 |
| 29 | 34, 87, 29, 13, 35 |
| 34, 3, 1, 13, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 29 x 34 x 3 x 1 x 13 x 35 = 226109520
Therefore, the lowest common multiple of 816,261,232,546,735 is 226109520.
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.
816 x 261 x 232 x 546 x 735 = 19828900465920
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
261 : 1, 3, 9, 29, 87, 261
232 : 1, 2, 4, 8, 29, 58, 116, 232
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,261,232,546,735, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
261:3x 3x 29
232:2x 2x 2x 29
546:2x 3x 7x 13
735:3x 5x 7x 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 2x 2x 3x 3x 3x 7x 29 = 87696
Therefore, the value for common factors is 87696.
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 = 19828900465920/(1x87696)
LCM = 19828900465920/87696
LCM = 226109520
Thus, we can understand that the LCM of 816,261,232,546,735 is 226109520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 816, 261, 232, 546, 735
1. What is the LCM of 816, 261, 232, 546, 735?
Answer: LCM of 816, 261, 232, 546, 735 is 226109520.
2. How to calculate the LCM of 816, 261, 232, 546, 735?
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 816, 261, 232, 546, 735.
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}.