LCM of 369, 756, 398, 726, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 756, 398, 726, 802 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 369, 756, 398, 726, 802. So, keep reading to learn more.
Given numbers are 369,756,398,726,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,756,398,726,802 is 299287426284.
Find LCM of 369,756,398,726,802 with Prime Factorization
| 2 | 369, 756, 398, 726, 802 |
| 3 | 369, 378, 199, 363, 401 |
| 3 | 123, 126, 199, 121, 401 |
| 41, 42, 199, 121, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 41 x 42 x 199 x 121 x 401 = 299287426284
Therefore, the lowest common multiple of 369,756,398,726,802 is 299287426284.
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.
369 x 756 x 398 x 726 x 802 = 64646084077344
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.
369 : 1, 3, 9, 41, 123, 369
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
398 : 1, 2, 199, 398
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,756,398,726,802, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
756:2x 2x 3x 3x 3x 7
398:2x 199
726:2x 3x 11x 11
802:2x 401
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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 64646084077344/(1x216)
LCM = 64646084077344/216
LCM = 299287426284
Thus, we can understand that the LCM of 369,756,398,726,802 is 299287426284.
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FAQs on LCM of 369, 756, 398, 726, 802
1. What is the LCM of 369, 756, 398, 726, 802?
Answer: LCM of 369, 756, 398, 726, 802 is 299287426284.
2. How to calculate the LCM of 369, 756, 398, 726, 802?
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 369, 756, 398, 726, 802.
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}.