LCM of 849, 528, 678, 986, 261
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 849, 528, 678, 986, 261 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 849, 528, 678, 986, 261. So, keep reading to learn more.
Given numbers are 849,528,678,986,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,528,678,986,261 is 24972784848.
Find LCM of 849,528,678,986,261 with Prime Factorization
| 2 | 849, 528, 678, 986, 261 |
| 3 | 849, 264, 339, 493, 261 |
| 29 | 283, 88, 113, 493, 87 |
| 283, 88, 113, 17, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 283 x 88 x 113 x 17 x 3 = 24972784848
Therefore, the lowest common multiple of 849,528,678,986,261 is 24972784848.
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.
849 x 528 x 678 x 986 x 261 = 78214762143936
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.
849 : 1, 3, 283, 849
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
678 : 1, 2, 3, 6, 113, 226, 339, 678
986 : 1, 2, 17, 29, 34, 58, 493, 986
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,528,678,986,261, is 1.
Now, the common factors can be found like this.
849:3x 283
528:2x 2x 2x 2x 3x 11
678:2x 3x 113
986:2x 17x 29
261:3x 3x 29
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 3x 3x 3x 29 = 3132
Therefore, the value for common factors is 3132.
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 = 78214762143936/(1x3132)
LCM = 78214762143936/3132
LCM = 24972784848
Thus, we can understand that the LCM of 849,528,678,986,261 is 24972784848.
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FAQs on LCM of 849, 528, 678, 986, 261
1. What is the LCM of 849, 528, 678, 986, 261?
Answer: LCM of 849, 528, 678, 986, 261 is 24972784848.
2. How to calculate the LCM of 849, 528, 678, 986, 261?
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 849, 528, 678, 986, 261.
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}.