LCM of 721, 444, 513, 874, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 444, 513, 874, 868 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 721, 444, 513, 874, 868. So, keep reading to learn more.
Given numbers are 721,444,513,874,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,444,513,874,868 is 39030478452.
Find LCM of 721,444,513,874,868 with Prime Factorization
| 2 | 721, 444, 513, 874, 868 |
| 2 | 721, 222, 513, 437, 434 |
| 3 | 721, 111, 513, 437, 217 |
| 7 | 721, 37, 171, 437, 217 |
| 19 | 103, 37, 171, 437, 31 |
| 103, 37, 9, 23, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 103 x 37 x 9 x 23 x 31 = 39030478452
Therefore, the lowest common multiple of 721,444,513,874,868 is 39030478452.
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.
721 x 444 x 513 x 874 x 868 = 124585287218784
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.
721 : 1, 7, 103, 721
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
513 : 1, 3, 9, 19, 27, 57, 171, 513
874 : 1, 2, 19, 23, 38, 46, 437, 874
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,444,513,874,868, is 1.
Now, the common factors can be found like this.
721:7x 103
444:2x 2x 3x 37
513:3x 3x 3x 19
874:2x 19x 23
868:2x 2x 7x 31
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 3x 7x 19 = 3192
Therefore, the value for common factors is 3192.
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 = 124585287218784/(1x3192)
LCM = 124585287218784/3192
LCM = 39030478452
Thus, we can understand that the LCM of 721,444,513,874,868 is 39030478452.
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FAQs on LCM of 721, 444, 513, 874, 868
1. What is the LCM of 721, 444, 513, 874, 868?
Answer: LCM of 721, 444, 513, 874, 868 is 39030478452.
2. How to calculate the LCM of 721, 444, 513, 874, 868?
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 721, 444, 513, 874, 868.
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}.