LCM of 857, 527, 799, 354, 463
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 857, 527, 799, 354, 463 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 857, 527, 799, 354, 463. So, keep reading to learn more.
Given numbers are 857,527,799,354,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 857,527,799,354,463 is 3479153162766.
Find LCM of 857,527,799,354,463 with Prime Factorization
| 17 | 857, 527, 799, 354, 463 |
| 857, 31, 47, 354, 463 |
Multiply the prime numbers at the bottom and the left side.
17 x 857 x 31 x 47 x 354 x 463 = 3479153162766
Therefore, the lowest common multiple of 857,527,799,354,463 is 3479153162766.
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.
857 x 527 x 799 x 354 x 463 = 59145603767022
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.
857 : 1, 857
527 : 1, 17, 31, 527
799 : 1, 17, 47, 799
354 : 1, 2, 3, 6, 59, 118, 177, 354
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,527,799,354,463, is 1.
Now, the common factors can be found like this.
857:857
527:17x 31
799:17x 47
354:2x 3x 59
463:463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 59145603767022/(1x17)
LCM = 59145603767022/17
LCM = 3479153162766
Thus, we can understand that the LCM of 857,527,799,354,463 is 3479153162766.
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FAQs on LCM of 857, 527, 799, 354, 463
1. What is the LCM of 857, 527, 799, 354, 463?
Answer: LCM of 857, 527, 799, 354, 463 is 3479153162766.
2. How to calculate the LCM of 857, 527, 799, 354, 463?
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 857, 527, 799, 354, 463.
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}.