LCM of 131, 442, 640, 416, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 131, 442, 640, 416, 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 131, 442, 640, 416, 690. So, keep reading to learn more.
Given numbers are 131,442,640,416,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 131,442,640,416,690 is 1278476160.
Find LCM of 131,442,640,416,690 with Prime Factorization
| 2 | 131, 442, 640, 416, 690 |
| 2 | 131, 221, 320, 208, 345 |
| 2 | 131, 221, 160, 104, 345 |
| 2 | 131, 221, 80, 52, 345 |
| 2 | 131, 221, 40, 26, 345 |
| 5 | 131, 221, 20, 13, 345 |
| 13 | 131, 221, 4, 13, 69 |
| 131, 17, 4, 1, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 13 x 131 x 17 x 4 x 1 x 69 = 1278476160
Therefore, the lowest common multiple of 131,442,640,416,690 is 1278476160.
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.
131 x 442 x 640 x 416 x 690 = 10636921651200
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.
131 : 1, 131
442 : 1, 2, 13, 17, 26, 34, 221, 442
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
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 131,442,640,416,690, is 1.
Now, the common factors can be found like this.
131:131
442:2x 13x 17
640:2x 2x 2x 2x 2x 2x 2x 5
416:2x 2x 2x 2x 2x 13
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 2x 2x 2x 2x 5x 13 = 8320
Therefore, the value for common factors is 8320.
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 = 10636921651200/(1x8320)
LCM = 10636921651200/8320
LCM = 1278476160
Thus, we can understand that the LCM of 131,442,640,416,690 is 1278476160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 131, 442, 640, 416, 690
1. What is the LCM of 131, 442, 640, 416, 690?
Answer: LCM of 131, 442, 640, 416, 690 is 1278476160.
2. How to calculate the LCM of 131, 442, 640, 416, 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 131, 442, 640, 416, 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}.