LCM of 521, 768, 215, 674, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 521, 768, 215, 674, 468 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 521, 768, 215, 674, 468. So, keep reading to learn more.
Given numbers are 521,768,215,674,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,768,215,674,468 is 1130659695360.
Find LCM of 521,768,215,674,468 with Prime Factorization
| 2 | 521, 768, 215, 674, 468 |
| 2 | 521, 384, 215, 337, 234 |
| 3 | 521, 192, 215, 337, 117 |
| 521, 64, 215, 337, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 521 x 64 x 215 x 337 x 39 = 1130659695360
Therefore, the lowest common multiple of 521,768,215,674,468 is 1130659695360.
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.
521 x 768 x 215 x 674 x 468 = 27135832688640
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.
521 : 1, 521
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
215 : 1, 5, 43, 215
674 : 1, 2, 337, 674
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,768,215,674,468, is 1.
Now, the common factors can be found like this.
521:521
768:2x 2x 2x 2x 2x 2x 2x 2x 3
215:5x 43
674:2x 337
468:2x 2x 3x 3x 13
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 3 = 24
Therefore, the value for common factors is 24.
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 = 27135832688640/(1x24)
LCM = 27135832688640/24
LCM = 1130659695360
Thus, we can understand that the LCM of 521,768,215,674,468 is 1130659695360.
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FAQs on LCM of 521, 768, 215, 674, 468
1. What is the LCM of 521, 768, 215, 674, 468?
Answer: LCM of 521, 768, 215, 674, 468 is 1130659695360.
2. How to calculate the LCM of 521, 768, 215, 674, 468?
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 521, 768, 215, 674, 468.
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}.