LCM of 633, 793, 976, 549, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 633, 793, 976, 549, 348 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 633, 793, 976, 549, 348. So, keep reading to learn more.
Given numbers are 633,793,976,549,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,793,976,549,348 is 698740848.
Find LCM of 633,793,976,549,348 with Prime Factorization
| 2 | 633, 793, 976, 549, 348 |
| 2 | 633, 793, 488, 549, 174 |
| 3 | 633, 793, 244, 549, 87 |
| 61 | 211, 793, 244, 183, 29 |
| 211, 13, 4, 3, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 211 x 13 x 4 x 3 x 29 = 698740848
Therefore, the lowest common multiple of 633,793,976,549,348 is 698740848.
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.
633 x 793 x 976 x 549 x 348 = 93600529034688
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.
633 : 1, 3, 211, 633
793 : 1, 13, 61, 793
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
549 : 1, 3, 9, 61, 183, 549
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,793,976,549,348, is 1.
Now, the common factors can be found like this.
633:3x 211
793:13x 61
976:2x 2x 2x 2x 61
549:3x 3x 61
348:2x 2x 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 2x 3x 3x 61x 61 = 133956
Therefore, the value for common factors is 133956.
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 = 93600529034688/(1x133956)
LCM = 93600529034688/133956
LCM = 698740848
Thus, we can understand that the LCM of 633,793,976,549,348 is 698740848.
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FAQs on LCM of 633, 793, 976, 549, 348
1. What is the LCM of 633, 793, 976, 549, 348?
Answer: LCM of 633, 793, 976, 549, 348 is 698740848.
2. How to calculate the LCM of 633, 793, 976, 549, 348?
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 633, 793, 976, 549, 348.
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}.