LCM of 279, 749, 904, 214, 261
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 749, 904, 214, 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 279, 749, 904, 214, 261. So, keep reading to learn more.
Given numbers are 279,749,904,214,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,749,904,214,261 is 5478383736.
Find LCM of 279,749,904,214,261 with Prime Factorization
| 2 | 279, 749, 904, 214, 261 |
| 3 | 279, 749, 452, 107, 261 |
| 3 | 93, 749, 452, 107, 87 |
| 107 | 31, 749, 452, 107, 29 |
| 31, 7, 452, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 107 x 31 x 7 x 452 x 1 x 29 = 5478383736
Therefore, the lowest common multiple of 279,749,904,214,261 is 5478383736.
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.
279 x 749 x 904 x 214 x 261 = 10551367075536
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.
279 : 1, 3, 9, 31, 93, 279
749 : 1, 7, 107, 749
904 : 1, 2, 4, 8, 113, 226, 452, 904
214 : 1, 2, 107, 214
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 279,749,904,214,261, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
749:7x 107
904:2x 2x 2x 113
214:2x 107
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 3x 3x 107 = 1926
Therefore, the value for common factors is 1926.
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 = 10551367075536/(1x1926)
LCM = 10551367075536/1926
LCM = 5478383736
Thus, we can understand that the LCM of 279,749,904,214,261 is 5478383736.
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FAQs on LCM of 279, 749, 904, 214, 261
1. What is the LCM of 279, 749, 904, 214, 261?
Answer: LCM of 279, 749, 904, 214, 261 is 5478383736.
2. How to calculate the LCM of 279, 749, 904, 214, 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 279, 749, 904, 214, 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}.