LCM of 928, 845, 342, 533, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 928, 845, 342, 533, 369 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 928, 845, 342, 533, 369. So, keep reading to learn more.
Given numbers are 928,845,342,533,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,845,342,533,369 is 5497745760.
Find LCM of 928,845,342,533,369 with Prime Factorization
| 2 | 928, 845, 342, 533, 369 |
| 3 | 464, 845, 171, 533, 369 |
| 3 | 464, 845, 57, 533, 123 |
| 13 | 464, 845, 19, 533, 41 |
| 41 | 464, 65, 19, 41, 41 |
| 464, 65, 19, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 41 x 464 x 65 x 19 x 1 x 1 = 5497745760
Therefore, the lowest common multiple of 928,845,342,533,369 is 5497745760.
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.
928 x 845 x 342 x 533 x 369 = 52745372821440
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
845 : 1, 5, 13, 65, 169, 845
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
533 : 1, 13, 41, 533
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,845,342,533,369, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
845:5x 13x 13
342:2x 3x 3x 19
533:13x 41
369:3x 3x 41
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 13x 41 = 9594
Therefore, the value for common factors is 9594.
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 = 52745372821440/(1x9594)
LCM = 52745372821440/9594
LCM = 5497745760
Thus, we can understand that the LCM of 928,845,342,533,369 is 5497745760.
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FAQs on LCM of 928, 845, 342, 533, 369
1. What is the LCM of 928, 845, 342, 533, 369?
Answer: LCM of 928, 845, 342, 533, 369 is 5497745760.
2. How to calculate the LCM of 928, 845, 342, 533, 369?
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 928, 845, 342, 533, 369.
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}.