LCM of 861, 849, 861, 896, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 849, 861, 896, 279 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 861, 849, 861, 896, 279. So, keep reading to learn more.
Given numbers are 861,849,861,896,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,849,861,896,279 is 2900564352.
Find LCM of 861,849,861,896,279 with Prime Factorization
| 3 | 861, 849, 861, 896, 279 |
| 7 | 287, 283, 287, 896, 93 |
| 41 | 41, 283, 41, 128, 93 |
| 1, 283, 1, 128, 93 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 41 x 1 x 283 x 1 x 128 x 93 = 2900564352
Therefore, the lowest common multiple of 861,849,861,896,279 is 2900564352.
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.
861 x 849 x 861 x 896 x 279 = 157335312145536
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
849 : 1, 3, 283, 849
861 : 1, 3, 7, 21, 41, 123, 287, 861
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,849,861,896,279, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
849:3x 283
861:3x 7x 41
896:2x 2x 2x 2x 2x 2x 2x 7
279:3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 7x 41 = 54243
Therefore, the value for common factors is 54243.
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 = 157335312145536/(1x54243)
LCM = 157335312145536/54243
LCM = 2900564352
Thus, we can understand that the LCM of 861,849,861,896,279 is 2900564352.
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FAQs on LCM of 861, 849, 861, 896, 279
1. What is the LCM of 861, 849, 861, 896, 279?
Answer: LCM of 861, 849, 861, 896, 279 is 2900564352.
2. How to calculate the LCM of 861, 849, 861, 896, 279?
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 861, 849, 861, 896, 279.
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}.