LCM of 437, 516, 452, 326, 699
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 516, 452, 326, 699 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 437, 516, 452, 326, 699. So, keep reading to learn more.
Given numbers are 437,516,452,326,699
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,516,452,326,699 is 967727555484.
Find LCM of 437,516,452,326,699 with Prime Factorization
| 2 | 437, 516, 452, 326, 699 |
| 2 | 437, 258, 226, 163, 699 |
| 3 | 437, 129, 113, 163, 699 |
| 437, 43, 113, 163, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 437 x 43 x 113 x 163 x 233 = 967727555484
Therefore, the lowest common multiple of 437,516,452,326,699 is 967727555484.
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.
437 x 516 x 452 x 326 x 699 = 23225461331616
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.
437 : 1, 19, 23, 437
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
452 : 1, 2, 4, 113, 226, 452
326 : 1, 2, 163, 326
699 : 1, 3, 233, 699
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,516,452,326,699, is 1.
Now, the common factors can be found like this.
437:19x 23
516:2x 2x 3x 43
452:2x 2x 113
326:2x 163
699:3x 233
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 = 23225461331616/(1x24)
LCM = 23225461331616/24
LCM = 967727555484
Thus, we can understand that the LCM of 437,516,452,326,699 is 967727555484.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 437, 516, 452, 326, 699
1. What is the LCM of 437, 516, 452, 326, 699?
Answer: LCM of 437, 516, 452, 326, 699 is 967727555484.
2. How to calculate the LCM of 437, 516, 452, 326, 699?
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 437, 516, 452, 326, 699.
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}.