LCM of 923, 817, 753, 864, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 817, 753, 864, 762 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 923, 817, 753, 864, 762. So, keep reading to learn more.
Given numbers are 923,817,753,864,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,817,753,864,762 is 20768969209248.
Find LCM of 923,817,753,864,762 with Prime Factorization
| 2 | 923, 817, 753, 864, 762 |
| 3 | 923, 817, 753, 432, 381 |
| 923, 817, 251, 144, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 923 x 817 x 251 x 144 x 127 = 20768969209248
Therefore, the lowest common multiple of 923,817,753,864,762 is 20768969209248.
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.
923 x 817 x 753 x 864 x 762 = 373841445766464
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.
923 : 1, 13, 71, 923
817 : 1, 19, 43, 817
753 : 1, 3, 251, 753
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,817,753,864,762, is 1.
Now, the common factors can be found like this.
923:13x 71
817:19x 43
753:3x 251
864:2x 2x 2x 2x 2x 3x 3x 3
762:2x 3x 127
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 3 = 18
Therefore, the value for common factors is 18.
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 = 373841445766464/(1x18)
LCM = 373841445766464/18
LCM = 20768969209248
Thus, we can understand that the LCM of 923,817,753,864,762 is 20768969209248.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 923, 817, 753, 864, 762
1. What is the LCM of 923, 817, 753, 864, 762?
Answer: LCM of 923, 817, 753, 864, 762 is 20768969209248.
2. How to calculate the LCM of 923, 817, 753, 864, 762?
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 923, 817, 753, 864, 762.
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}.