LCM of 541, 640, 960, 136, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 541, 640, 960, 136, 357 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 541, 640, 960, 136, 357. So, keep reading to learn more.
Given numbers are 541,640,960,136,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,640,960,136,357 is 123607680.
Find LCM of 541,640,960,136,357 with Prime Factorization
| 2 | 541, 640, 960, 136, 357 |
| 2 | 541, 320, 480, 68, 357 |
| 2 | 541, 160, 240, 34, 357 |
| 2 | 541, 80, 120, 17, 357 |
| 2 | 541, 40, 60, 17, 357 |
| 2 | 541, 20, 30, 17, 357 |
| 3 | 541, 10, 15, 17, 357 |
| 5 | 541, 10, 5, 17, 119 |
| 17 | 541, 2, 1, 17, 119 |
| 541, 2, 1, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 541 x 2 x 1 x 1 x 7 = 123607680
Therefore, the lowest common multiple of 541,640,960,136,357 is 123607680.
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.
541 x 640 x 960 x 136 x 357 = 16138218700800
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.
541 : 1, 541
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
136 : 1, 2, 4, 8, 17, 34, 68, 136
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,640,960,136,357, is 1.
Now, the common factors can be found like this.
541:541
640:2x 2x 2x 2x 2x 2x 2x 5
960:2x 2x 2x 2x 2x 2x 3x 5
136:2x 2x 2x 17
357:3x 7x 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 2x 3x 5x 17 = 130560
Therefore, the value for common factors is 130560.
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 = 16138218700800/(1x130560)
LCM = 16138218700800/130560
LCM = 123607680
Thus, we can understand that the LCM of 541,640,960,136,357 is 123607680.
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FAQs on LCM of 541, 640, 960, 136, 357
1. What is the LCM of 541, 640, 960, 136, 357?
Answer: LCM of 541, 640, 960, 136, 357 is 123607680.
2. How to calculate the LCM of 541, 640, 960, 136, 357?
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 541, 640, 960, 136, 357.
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}.