LCM of 278, 242, 928, 667, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 242, 928, 667, 165 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 278, 242, 928, 667, 165. So, keep reading to learn more.
Given numbers are 278,242,928,667,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,242,928,667,165 is 5384771040.
Find LCM of 278,242,928,667,165 with Prime Factorization
| 2 | 278, 242, 928, 667, 165 |
| 11 | 139, 121, 464, 667, 165 |
| 29 | 139, 11, 464, 667, 15 |
| 139, 11, 16, 23, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 139 x 11 x 16 x 23 x 15 = 5384771040
Therefore, the lowest common multiple of 278,242,928,667,165 is 5384771040.
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.
278 x 242 x 928 x 667 x 165 = 6870967847040
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.
278 : 1, 2, 139, 278
242 : 1, 2, 11, 22, 121, 242
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
667 : 1, 23, 29, 667
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,242,928,667,165, is 1.
Now, the common factors can be found like this.
278:2x 139
242:2x 11x 11
928:2x 2x 2x 2x 2x 29
667:23x 29
165:3x 5x 11
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 11x 29 = 1276
Therefore, the value for common factors is 1276.
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 = 6870967847040/(1x1276)
LCM = 6870967847040/1276
LCM = 5384771040
Thus, we can understand that the LCM of 278,242,928,667,165 is 5384771040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 278, 242, 928, 667, 165
1. What is the LCM of 278, 242, 928, 667, 165?
Answer: LCM of 278, 242, 928, 667, 165 is 5384771040.
2. How to calculate the LCM of 278, 242, 928, 667, 165?
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 278, 242, 928, 667, 165.
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}.