LCM of 374, 687, 680, 986, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 687, 680, 986, 805 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 374, 687, 680, 986, 805. So, keep reading to learn more.
Given numbers are 374,687,680,986,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,687,680,986,805 is 23992870440.
Find LCM of 374,687,680,986,805 with Prime Factorization
| 2 | 374, 687, 680, 986, 805 |
| 5 | 187, 687, 340, 493, 805 |
| 17 | 187, 687, 68, 493, 161 |
| 11, 687, 4, 29, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 11 x 687 x 4 x 29 x 161 = 23992870440
Therefore, the lowest common multiple of 374,687,680,986,805 is 23992870440.
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.
374 x 687 x 680 x 986 x 805 = 138678791143200
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
687 : 1, 3, 229, 687
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
986 : 1, 2, 17, 29, 34, 58, 493, 986
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,687,680,986,805, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
687:3x 229
680:2x 2x 2x 5x 17
986:2x 17x 29
805:5x 7x 23
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 5x 17x 17 = 5780
Therefore, the value for common factors is 5780.
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 = 138678791143200/(1x5780)
LCM = 138678791143200/5780
LCM = 23992870440
Thus, we can understand that the LCM of 374,687,680,986,805 is 23992870440.
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FAQs on LCM of 374, 687, 680, 986, 805
1. What is the LCM of 374, 687, 680, 986, 805?
Answer: LCM of 374, 687, 680, 986, 805 is 23992870440.
2. How to calculate the LCM of 374, 687, 680, 986, 805?
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 374, 687, 680, 986, 805.
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}.