LCM of 969, 761, 408, 229, 512
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 761, 408, 229, 512 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 969, 761, 408, 229, 512. So, keep reading to learn more.
Given numbers are 969,761,408,229,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,761,408,229,512 is 86459730432.
Find LCM of 969,761,408,229,512 with Prime Factorization
| 2 | 969, 761, 408, 229, 512 |
| 2 | 969, 761, 204, 229, 256 |
| 2 | 969, 761, 102, 229, 128 |
| 3 | 969, 761, 51, 229, 64 |
| 17 | 323, 761, 17, 229, 64 |
| 19, 761, 1, 229, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 19 x 761 x 1 x 229 x 64 = 86459730432
Therefore, the lowest common multiple of 969,761,408,229,512 is 86459730432.
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.
969 x 761 x 408 x 229 x 512 = 35275570016256
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
761 : 1, 761
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
229 : 1, 229
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,761,408,229,512, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
761:761
408:2x 2x 2x 3x 17
229:229
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 35275570016256/(1x408)
LCM = 35275570016256/408
LCM = 86459730432
Thus, we can understand that the LCM of 969,761,408,229,512 is 86459730432.
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FAQs on LCM of 969, 761, 408, 229, 512
1. What is the LCM of 969, 761, 408, 229, 512?
Answer: LCM of 969, 761, 408, 229, 512 is 86459730432.
2. How to calculate the LCM of 969, 761, 408, 229, 512?
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 969, 761, 408, 229, 512.
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}.