LCM of 261, 946, 551, 893, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 261, 946, 551, 893, 977 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 261, 946, 551, 893, 977. So, keep reading to learn more.
Given numbers are 261,946,551,893,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 261,946,551,893,977 is 215415855666.
Find LCM of 261,946,551,893,977 with Prime Factorization
| 19 | 261, 946, 551, 893, 977 |
| 29 | 261, 946, 29, 47, 977 |
| 9, 946, 1, 47, 977 |
Multiply the prime numbers at the bottom and the left side.
19 x 29 x 9 x 946 x 1 x 47 x 977 = 215415855666
Therefore, the lowest common multiple of 261,946,551,893,977 is 215415855666.
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.
261 x 946 x 551 x 893 x 977 = 118694136471966
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.
261 : 1, 3, 9, 29, 87, 261
946 : 1, 2, 11, 22, 43, 86, 473, 946
551 : 1, 19, 29, 551
893 : 1, 19, 47, 893
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,946,551,893,977, is 1.
Now, the common factors can be found like this.
261:3x 3x 29
946:2x 11x 43
551:19x 29
893:19x 47
977:977
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 29 = 551
Therefore, the value for common factors is 551.
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 = 118694136471966/(1x551)
LCM = 118694136471966/551
LCM = 215415855666
Thus, we can understand that the LCM of 261,946,551,893,977 is 215415855666.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 261, 946, 551, 893, 977
1. What is the LCM of 261, 946, 551, 893, 977?
Answer: LCM of 261, 946, 551, 893, 977 is 215415855666.
2. How to calculate the LCM of 261, 946, 551, 893, 977?
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 261, 946, 551, 893, 977.
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}.