LCM of 535, 357, 108, 105, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 357, 108, 105, 390 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 535, 357, 108, 105, 390. So, keep reading to learn more.
Given numbers are 535,357,108,105,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,357,108,105,390 is 89385660.
Find LCM of 535,357,108,105,390 with Prime Factorization
| 2 | 535, 357, 108, 105, 390 |
| 3 | 535, 357, 54, 105, 195 |
| 5 | 535, 119, 18, 35, 65 |
| 7 | 107, 119, 18, 7, 13 |
| 107, 17, 18, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 107 x 17 x 18 x 1 x 13 = 89385660
Therefore, the lowest common multiple of 535,357,108,105,390 is 89385660.
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.
535 x 357 x 108 x 105 x 390 = 844694487000
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.
535 : 1, 5, 107, 535
357 : 1, 3, 7, 17, 21, 51, 119, 357
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
105 : 1, 3, 5, 7, 15, 21, 35, 105
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,357,108,105,390, is 1.
Now, the common factors can be found like this.
535:5x 107
357:3x 7x 17
108:2x 2x 3x 3x 3
105:3x 5x 7
390:2x 3x 5x 13
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 3x 5x 5x 7 = 9450
Therefore, the value for common factors is 9450.
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 = 844694487000/(1x9450)
LCM = 844694487000/9450
LCM = 89385660
Thus, we can understand that the LCM of 535,357,108,105,390 is 89385660.
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FAQs on LCM of 535, 357, 108, 105, 390
1. What is the LCM of 535, 357, 108, 105, 390?
Answer: LCM of 535, 357, 108, 105, 390 is 89385660.
2. How to calculate the LCM of 535, 357, 108, 105, 390?
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 535, 357, 108, 105, 390.
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}.