LCM of 119, 796, 374, 320, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 119, 796, 374, 320, 544 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 119, 796, 374, 320, 544. So, keep reading to learn more.
Given numbers are 119,796,374,320,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 119,796,374,320,544 is 83357120.
Find LCM of 119,796,374,320,544 with Prime Factorization
| 2 | 119, 796, 374, 320, 544 |
| 2 | 119, 398, 187, 160, 272 |
| 2 | 119, 199, 187, 80, 136 |
| 2 | 119, 199, 187, 40, 68 |
| 2 | 119, 199, 187, 20, 34 |
| 17 | 119, 199, 187, 10, 17 |
| 7, 199, 11, 10, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 17 x 7 x 199 x 11 x 10 x 1 = 83357120
Therefore, the lowest common multiple of 119,796,374,320,544 is 83357120.
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.
119 x 796 x 374 x 320 x 544 = 6167093166080
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.
119 : 1, 7, 17, 119
796 : 1, 2, 4, 199, 398, 796
374 : 1, 2, 11, 17, 22, 34, 187, 374
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,796,374,320,544, is 1.
Now, the common factors can be found like this.
119:7x 17
796:2x 2x 199
374:2x 11x 17
320:2x 2x 2x 2x 2x 2x 5
544:2x 2x 2x 2x 2x 17
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 2x 2x 2x 17x 17 = 73984
Therefore, the value for common factors is 73984.
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 = 6167093166080/(1x73984)
LCM = 6167093166080/73984
LCM = 83357120
Thus, we can understand that the LCM of 119,796,374,320,544 is 83357120.
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FAQs on LCM of 119, 796, 374, 320, 544
1. What is the LCM of 119, 796, 374, 320, 544?
Answer: LCM of 119, 796, 374, 320, 544 is 83357120.
2. How to calculate the LCM of 119, 796, 374, 320, 544?
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 119, 796, 374, 320, 544.
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}.