LCM of 699, 527, 814, 322
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 527, 814, 322 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 699, 527, 814, 322. So, keep reading to learn more.
Given numbers are 699,527,814,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,527,814,322 is 48276755142.
Find LCM of 699,527,814,322 with Prime Factorization
| 2 | 699, 527, 814, 322 |
| 699, 527, 407, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 699 x 527 x 407 x 161 = 48276755142
Therefore, the lowest common multiple of 699,527,814,322 is 48276755142.
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.
699 x 527 x 814 x 322 = 96553510284
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.
699 : 1, 3, 233, 699
527 : 1, 17, 31, 527
814 : 1, 2, 11, 22, 37, 74, 407, 814
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,527,814,322, is 1.
Now, the common factors can be found like this.
699:3x 233
527:17x 31
814:2x 11x 37
322:2x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 96553510284/(1x2)
LCM = 96553510284/2
LCM = 48276755142
Thus, we can understand that the LCM of 699,527,814,322 is 48276755142.
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FAQs on LCM of 699, 527, 814, 322
1. What is the LCM of 699, 527, 814, 322?
Answer: LCM of 699, 527, 814, 322 is 48276755142.
2. How to calculate the LCM of 699, 527, 814, 322?
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 699, 527, 814, 322.
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}.