LCM of 921, 136, 309, 832, 876
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 921, 136, 309, 832, 876 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 921, 136, 309, 832, 876. So, keep reading to learn more.
Given numbers are 921,136,309,832,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,136,309,832,876 is 97947185856.
Find LCM of 921,136,309,832,876 with Prime Factorization
| 2 | 921, 136, 309, 832, 876 |
| 2 | 921, 68, 309, 416, 438 |
| 2 | 921, 34, 309, 208, 219 |
| 3 | 921, 17, 309, 104, 219 |
| 307, 17, 103, 104, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 307 x 17 x 103 x 104 x 73 = 97947185856
Therefore, the lowest common multiple of 921,136,309,832,876 is 97947185856.
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.
921 x 136 x 309 x 832 x 876 = 28208789526528
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.
921 : 1, 3, 307, 921
136 : 1, 2, 4, 8, 17, 34, 68, 136
309 : 1, 3, 103, 309
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,136,309,832,876, is 1.
Now, the common factors can be found like this.
921:3x 307
136:2x 2x 2x 17
309:3x 103
832:2x 2x 2x 2x 2x 2x 13
876:2x 2x 3x 73
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 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 28208789526528/(1x288)
LCM = 28208789526528/288
LCM = 97947185856
Thus, we can understand that the LCM of 921,136,309,832,876 is 97947185856.
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FAQs on LCM of 921, 136, 309, 832, 876
1. What is the LCM of 921, 136, 309, 832, 876?
Answer: LCM of 921, 136, 309, 832, 876 is 97947185856.
2. How to calculate the LCM of 921, 136, 309, 832, 876?
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 921, 136, 309, 832, 876.
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}.