LCM of 268, 287, 714, 578, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 287, 714, 578, 986 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 268, 287, 714, 578, 986. So, keep reading to learn more.
Given numbers are 268,287,714,578,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,287,714,578,986 is 1933898988.
Find LCM of 268,287,714,578,986 with Prime Factorization
| 2 | 268, 287, 714, 578, 986 |
| 7 | 134, 287, 357, 289, 493 |
| 17 | 134, 41, 51, 289, 493 |
| 134, 41, 3, 17, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 134 x 41 x 3 x 17 x 29 = 1933898988
Therefore, the lowest common multiple of 268,287,714,578,986 is 1933898988.
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.
268 x 287 x 714 x 578 x 986 = 31298221221792
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.
268 : 1, 2, 4, 67, 134, 268
287 : 1, 7, 41, 287
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
578 : 1, 2, 17, 34, 289, 578
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,287,714,578,986, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
287:7x 41
714:2x 3x 7x 17
578:2x 17x 17
986:2x 17x 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 7x 17x 17 = 16184
Therefore, the value for common factors is 16184.
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 = 31298221221792/(1x16184)
LCM = 31298221221792/16184
LCM = 1933898988
Thus, we can understand that the LCM of 268,287,714,578,986 is 1933898988.
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FAQs on LCM of 268, 287, 714, 578, 986
1. What is the LCM of 268, 287, 714, 578, 986?
Answer: LCM of 268, 287, 714, 578, 986 is 1933898988.
2. How to calculate the LCM of 268, 287, 714, 578, 986?
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 268, 287, 714, 578, 986.
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}.