LCM of 935, 120, 186, 561, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 120, 186, 561, 762 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 935, 120, 186, 561, 762. So, keep reading to learn more.
Given numbers are 935,120,186,561,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,120,186,561,762 is 88346280.
Find LCM of 935,120,186,561,762 with Prime Factorization
| 2 | 935, 120, 186, 561, 762 |
| 3 | 935, 60, 93, 561, 381 |
| 5 | 935, 20, 31, 187, 127 |
| 11 | 187, 4, 31, 187, 127 |
| 17 | 17, 4, 31, 17, 127 |
| 1, 4, 31, 1, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 17 x 1 x 4 x 31 x 1 x 127 = 88346280
Therefore, the lowest common multiple of 935,120,186,561,762 is 88346280.
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.
935 x 120 x 186 x 561 x 762 = 8921207354400
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
186 : 1, 2, 3, 6, 31, 62, 93, 186
561 : 1, 3, 11, 17, 33, 51, 187, 561
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,120,186,561,762, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
120:2x 2x 2x 3x 5
186:2x 3x 31
561:3x 11x 17
762:2x 3x 127
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 3x 3x 3x 5x 11x 17 = 100980
Therefore, the value for common factors is 100980.
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 = 8921207354400/(1x100980)
LCM = 8921207354400/100980
LCM = 88346280
Thus, we can understand that the LCM of 935,120,186,561,762 is 88346280.
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FAQs on LCM of 935, 120, 186, 561, 762
1. What is the LCM of 935, 120, 186, 561, 762?
Answer: LCM of 935, 120, 186, 561, 762 is 88346280.
2. How to calculate the LCM of 935, 120, 186, 561, 762?
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 935, 120, 186, 561, 762.
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}.