LCM of 924, 670, 976, 505, 865
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 670, 976, 505, 865 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 924, 670, 976, 505, 865. So, keep reading to learn more.
Given numbers are 924,670,976,505,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,670,976,505,865 is 1319696550480.
Find LCM of 924,670,976,505,865 with Prime Factorization
| 2 | 924, 670, 976, 505, 865 |
| 2 | 462, 335, 488, 505, 865 |
| 5 | 231, 335, 244, 505, 865 |
| 231, 67, 244, 101, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 231 x 67 x 244 x 101 x 173 = 1319696550480
Therefore, the lowest common multiple of 924,670,976,505,865 is 1319696550480.
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.
924 x 670 x 976 x 505 x 865 = 263939310096000
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.
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
670 : 1, 2, 5, 10, 67, 134, 335, 670
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
505 : 1, 5, 101, 505
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,670,976,505,865, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
670:2x 5x 67
976:2x 2x 2x 2x 61
505:5x 101
865:5x 173
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 2x 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 263939310096000/(1x200)
LCM = 263939310096000/200
LCM = 1319696550480
Thus, we can understand that the LCM of 924,670,976,505,865 is 1319696550480.
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FAQs on LCM of 924, 670, 976, 505, 865
1. What is the LCM of 924, 670, 976, 505, 865?
Answer: LCM of 924, 670, 976, 505, 865 is 1319696550480.
2. How to calculate the LCM of 924, 670, 976, 505, 865?
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 924, 670, 976, 505, 865.
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}.