LCM of 170, 319, 102, 330, 754
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 170, 319, 102, 330, 754 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 170, 319, 102, 330, 754. So, keep reading to learn more.
Given numbers are 170,319,102,330,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 170,319,102,330,754 is 2114970.
Find LCM of 170,319,102,330,754 with Prime Factorization
| 2 | 170, 319, 102, 330, 754 |
| 3 | 85, 319, 51, 165, 377 |
| 5 | 85, 319, 17, 55, 377 |
| 11 | 17, 319, 17, 11, 377 |
| 17 | 17, 29, 17, 1, 377 |
| 29 | 1, 29, 1, 1, 377 |
| 1, 1, 1, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 17 x 29 x 1 x 1 x 1 x 1 x 13 = 2114970
Therefore, the lowest common multiple of 170,319,102,330,754 is 2114970.
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.
170 x 319 x 102 x 330 x 754 = 1376337877200
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.
170 : 1, 2, 5, 10, 17, 34, 85, 170
319 : 1, 11, 29, 319
102 : 1, 2, 3, 6, 17, 34, 51, 102
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,319,102,330,754, is 1.
Now, the common factors can be found like this.
170:2x 5x 17
319:11x 29
102:2x 3x 17
330:2x 3x 5x 11
754:2x 13x 29
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 3x 5x 11x 17x 29 = 650760
Therefore, the value for common factors is 650760.
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 = 1376337877200/(1x650760)
LCM = 1376337877200/650760
LCM = 2114970
Thus, we can understand that the LCM of 170,319,102,330,754 is 2114970.
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FAQs on LCM of 170, 319, 102, 330, 754
1. What is the LCM of 170, 319, 102, 330, 754?
Answer: LCM of 170, 319, 102, 330, 754 is 2114970.
2. How to calculate the LCM of 170, 319, 102, 330, 754?
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 170, 319, 102, 330, 754.
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}.