LCM of 418, 726, 364, 708, 733
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 726, 364, 708, 733 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 418, 726, 364, 708, 733. So, keep reading to learn more.
Given numbers are 418,726,364,708,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,726,364,708,733 is 108571939476.
Find LCM of 418,726,364,708,733 with Prime Factorization
| 2 | 418, 726, 364, 708, 733 |
| 2 | 209, 363, 182, 354, 733 |
| 3 | 209, 363, 91, 177, 733 |
| 11 | 209, 121, 91, 59, 733 |
| 19, 11, 91, 59, 733 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 19 x 11 x 91 x 59 x 733 = 108571939476
Therefore, the lowest common multiple of 418,726,364,708,733 is 108571939476.
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.
418 x 726 x 364 x 708 x 733 = 57325984043328
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,726,364,708,733, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
726:2x 3x 11x 11
364:2x 2x 7x 13
708:2x 2x 3x 59
733:733
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 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 57325984043328/(1x528)
LCM = 57325984043328/528
LCM = 108571939476
Thus, we can understand that the LCM of 418,726,364,708,733 is 108571939476.
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FAQs on LCM of 418, 726, 364, 708, 733
1. What is the LCM of 418, 726, 364, 708, 733?
Answer: LCM of 418, 726, 364, 708, 733 is 108571939476.
2. How to calculate the LCM of 418, 726, 364, 708, 733?
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 418, 726, 364, 708, 733.
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}.