LCM of 664, 332, 749, 914, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 664, 332, 749, 914, 716 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 664, 332, 749, 914, 716. So, keep reading to learn more.
Given numbers are 664,332,749,914,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 664,332,749,914,716 is 40683576808.
Find LCM of 664,332,749,914,716 with Prime Factorization
| 2 | 664, 332, 749, 914, 716 |
| 2 | 332, 166, 749, 457, 358 |
| 83 | 83, 166, 749, 457, 179 |
| 1, 2, 749, 457, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 83 x 1 x 2 x 749 x 457 x 179 = 40683576808
Therefore, the lowest common multiple of 664,332,749,914,716 is 40683576808.
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.
664 x 332 x 749 x 914 x 716 = 108055580002048
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.
664 : 1, 2, 4, 8, 83, 166, 332, 664
332 : 1, 2, 4, 83, 166, 332
749 : 1, 7, 107, 749
914 : 1, 2, 457, 914
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 664,332,749,914,716, is 1.
Now, the common factors can be found like this.
664:2x 2x 2x 83
332:2x 2x 83
749:7x 107
914:2x 457
716:2x 2x 179
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 2x 2x 83 = 2656
Therefore, the value for common factors is 2656.
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 = 108055580002048/(1x2656)
LCM = 108055580002048/2656
LCM = 40683576808
Thus, we can understand that the LCM of 664,332,749,914,716 is 40683576808.
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FAQs on LCM of 664, 332, 749, 914, 716
1. What is the LCM of 664, 332, 749, 914, 716?
Answer: LCM of 664, 332, 749, 914, 716 is 40683576808.
2. How to calculate the LCM of 664, 332, 749, 914, 716?
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 664, 332, 749, 914, 716.
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}.