LCM of 276, 122, 782, 959, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 276, 122, 782, 959, 833 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 276, 122, 782, 959, 833. So, keep reading to learn more.
Given numbers are 276,122,782,959,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,122,782,959,833 is 1921341156.
Find LCM of 276,122,782,959,833 with Prime Factorization
| 2 | 276, 122, 782, 959, 833 |
| 7 | 138, 61, 391, 959, 833 |
| 17 | 138, 61, 391, 137, 119 |
| 23 | 138, 61, 23, 137, 7 |
| 6, 61, 1, 137, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 23 x 6 x 61 x 1 x 137 x 7 = 1921341156
Therefore, the lowest common multiple of 276,122,782,959,833 is 1921341156.
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.
276 x 122 x 782 x 959 x 833 = 21034842975888
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
122 : 1, 2, 61, 122
782 : 1, 2, 17, 23, 34, 46, 391, 782
959 : 1, 7, 137, 959
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,122,782,959,833, is 1.
Now, the common factors can be found like this.
276:2x 2x 3x 23
122:2x 61
782:2x 17x 23
959:7x 137
833:7x 7x 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 2x 7x 17x 23 = 10948
Therefore, the value for common factors is 10948.
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 = 21034842975888/(1x10948)
LCM = 21034842975888/10948
LCM = 1921341156
Thus, we can understand that the LCM of 276,122,782,959,833 is 1921341156.
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FAQs on LCM of 276, 122, 782, 959, 833
1. What is the LCM of 276, 122, 782, 959, 833?
Answer: LCM of 276, 122, 782, 959, 833 is 1921341156.
2. How to calculate the LCM of 276, 122, 782, 959, 833?
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 276, 122, 782, 959, 833.
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}.