LCM of 173, 482, 714, 680, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 173, 482, 714, 680, 940 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 173, 482, 714, 680, 940. So, keep reading to learn more.
Given numbers are 173,482,714,680,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 173,482,714,680,940 is 27982673880.
Find LCM of 173,482,714,680,940 with Prime Factorization
| 2 | 173, 482, 714, 680, 940 |
| 2 | 173, 241, 357, 340, 470 |
| 5 | 173, 241, 357, 170, 235 |
| 17 | 173, 241, 357, 34, 47 |
| 173, 241, 21, 2, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 173 x 241 x 21 x 2 x 47 = 27982673880
Therefore, the lowest common multiple of 173,482,714,680,940 is 27982673880.
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.
173 x 482 x 714 x 680 x 940 = 38056436476800
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.
173 : 1, 173
482 : 1, 2, 241, 482
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,482,714,680,940, is 1.
Now, the common factors can be found like this.
173:173
482:2x 241
714:2x 3x 7x 17
680:2x 2x 2x 5x 17
940:2x 2x 5x 47
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 5x 17 = 1360
Therefore, the value for common factors is 1360.
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 = 38056436476800/(1x1360)
LCM = 38056436476800/1360
LCM = 27982673880
Thus, we can understand that the LCM of 173,482,714,680,940 is 27982673880.
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FAQs on LCM of 173, 482, 714, 680, 940
1. What is the LCM of 173, 482, 714, 680, 940?
Answer: LCM of 173, 482, 714, 680, 940 is 27982673880.
2. How to calculate the LCM of 173, 482, 714, 680, 940?
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 173, 482, 714, 680, 940.
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}.