LCM of 974, 510, 713, 327, 170
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 510, 713, 327, 170 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 974, 510, 713, 327, 170. So, keep reading to learn more.
Given numbers are 974,510,713,327,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,510,713,327,170 is 19302571290.
Find LCM of 974,510,713,327,170 with Prime Factorization
| 2 | 974, 510, 713, 327, 170 |
| 3 | 487, 255, 713, 327, 85 |
| 5 | 487, 85, 713, 109, 85 |
| 17 | 487, 17, 713, 109, 17 |
| 487, 1, 713, 109, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 487 x 1 x 713 x 109 x 1 = 19302571290
Therefore, the lowest common multiple of 974,510,713,327,170 is 19302571290.
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.
974 x 510 x 713 x 327 x 170 = 19688622715800
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.
974 : 1, 2, 487, 974
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
713 : 1, 23, 31, 713
327 : 1, 3, 109, 327
170 : 1, 2, 5, 10, 17, 34, 85, 170
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,510,713,327,170, is 1.
Now, the common factors can be found like this.
974:2x 487
510:2x 3x 5x 17
713:23x 31
327:3x 109
170:2x 5x 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 3x 5x 17 = 1020
Therefore, the value for common factors is 1020.
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 = 19688622715800/(1x1020)
LCM = 19688622715800/1020
LCM = 19302571290
Thus, we can understand that the LCM of 974,510,713,327,170 is 19302571290.
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FAQs on LCM of 974, 510, 713, 327, 170
1. What is the LCM of 974, 510, 713, 327, 170?
Answer: LCM of 974, 510, 713, 327, 170 is 19302571290.
2. How to calculate the LCM of 974, 510, 713, 327, 170?
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 974, 510, 713, 327, 170.
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}.