LCM of 158, 728, 391, 574, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 158, 728, 391, 574, 690 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 158, 728, 391, 574, 690. So, keep reading to learn more.
Given numbers are 158,728,391,574,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 158,728,391,574,690 is 13829623080.
Find LCM of 158,728,391,574,690 with Prime Factorization
| 2 | 158, 728, 391, 574, 690 |
| 7 | 79, 364, 391, 287, 345 |
| 23 | 79, 52, 391, 41, 345 |
| 79, 52, 17, 41, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 79 x 52 x 17 x 41 x 15 = 13829623080
Therefore, the lowest common multiple of 158,728,391,574,690 is 13829623080.
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.
158 x 728 x 391 x 574 x 690 = 17812554527040
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.
158 : 1, 2, 79, 158
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
391 : 1, 17, 23, 391
574 : 1, 2, 7, 14, 41, 82, 287, 574
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,728,391,574,690, is 1.
Now, the common factors can be found like this.
158:2x 79
728:2x 2x 2x 7x 13
391:17x 23
574:2x 7x 41
690:2x 3x 5x 23
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 7x 23 = 1288
Therefore, the value for common factors is 1288.
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 = 17812554527040/(1x1288)
LCM = 17812554527040/1288
LCM = 13829623080
Thus, we can understand that the LCM of 158,728,391,574,690 is 13829623080.
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FAQs on LCM of 158, 728, 391, 574, 690
1. What is the LCM of 158, 728, 391, 574, 690?
Answer: LCM of 158, 728, 391, 574, 690 is 13829623080.
2. How to calculate the LCM of 158, 728, 391, 574, 690?
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 158, 728, 391, 574, 690.
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}.