LCM of 368, 407, 726, 696, 994
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 407, 726, 696, 994 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 368, 407, 726, 696, 994. So, keep reading to learn more.
Given numbers are 368,407,726,696,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,407,726,696,994 is 71237809104.
Find LCM of 368,407,726,696,994 with Prime Factorization
| 2 | 368, 407, 726, 696, 994 |
| 2 | 184, 407, 363, 348, 497 |
| 2 | 92, 407, 363, 174, 497 |
| 3 | 46, 407, 363, 87, 497 |
| 11 | 46, 407, 121, 29, 497 |
| 46, 37, 11, 29, 497 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 46 x 37 x 11 x 29 x 497 = 71237809104
Therefore, the lowest common multiple of 368,407,726,696,994 is 71237809104.
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.
368 x 407 x 726 x 696 x 994 = 75227126413824
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
407 : 1, 11, 37, 407
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,407,726,696,994, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
407:11x 37
726:2x 3x 11x 11
696:2x 2x 2x 3x 29
994:2x 7x 71
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 3x 11 = 1056
Therefore, the value for common factors is 1056.
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 = 75227126413824/(1x1056)
LCM = 75227126413824/1056
LCM = 71237809104
Thus, we can understand that the LCM of 368,407,726,696,994 is 71237809104.
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FAQs on LCM of 368, 407, 726, 696, 994
1. What is the LCM of 368, 407, 726, 696, 994?
Answer: LCM of 368, 407, 726, 696, 994 is 71237809104.
2. How to calculate the LCM of 368, 407, 726, 696, 994?
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 368, 407, 726, 696, 994.
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}.