LCM of 799, 153, 377, 690, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 153, 377, 690, 696 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 799, 153, 377, 690, 696. So, keep reading to learn more.
Given numbers are 799,153,377,690,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,153,377,690,696 is 2494126440.
Find LCM of 799,153,377,690,696 with Prime Factorization
| 2 | 799, 153, 377, 690, 696 |
| 3 | 799, 153, 377, 345, 348 |
| 17 | 799, 51, 377, 115, 116 |
| 29 | 47, 3, 377, 115, 116 |
| 47, 3, 13, 115, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 29 x 47 x 3 x 13 x 115 x 4 = 2494126440
Therefore, the lowest common multiple of 799,153,377,690,696 is 2494126440.
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.
799 x 153 x 377 x 690 x 696 = 22132878028560
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.
799 : 1, 17, 47, 799
153 : 1, 3, 9, 17, 51, 153
377 : 1, 13, 29, 377
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,153,377,690,696, is 1.
Now, the common factors can be found like this.
799:17x 47
153:3x 3x 17
377:13x 29
690:2x 3x 5x 23
696:2x 2x 2x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 17x 29 = 8874
Therefore, the value for common factors is 8874.
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 = 22132878028560/(1x8874)
LCM = 22132878028560/8874
LCM = 2494126440
Thus, we can understand that the LCM of 799,153,377,690,696 is 2494126440.
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FAQs on LCM of 799, 153, 377, 690, 696
1. What is the LCM of 799, 153, 377, 690, 696?
Answer: LCM of 799, 153, 377, 690, 696 is 2494126440.
2. How to calculate the LCM of 799, 153, 377, 690, 696?
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 799, 153, 377, 690, 696.
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}.