LCM of 868, 837, 328, 429, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 868, 837, 328, 429, 682 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 868, 837, 328, 429, 682. So, keep reading to learn more.
Given numbers are 868,837,328,429,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 868,837,328,429,682 is 274810536.
Find LCM of 868,837,328,429,682 with Prime Factorization
| 2 | 868, 837, 328, 429, 682 |
| 2 | 434, 837, 164, 429, 341 |
| 3 | 217, 837, 82, 429, 341 |
| 11 | 217, 279, 82, 143, 341 |
| 31 | 217, 279, 82, 13, 31 |
| 7, 9, 82, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 31 x 7 x 9 x 82 x 13 x 1 = 274810536
Therefore, the lowest common multiple of 868,837,328,429,682 is 274810536.
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.
868 x 837 x 328 x 429 x 682 = 69720532225344
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.
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
837 : 1, 3, 9, 27, 31, 93, 279, 837
328 : 1, 2, 4, 8, 41, 82, 164, 328
429 : 1, 3, 11, 13, 33, 39, 143, 429
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,837,328,429,682, is 1.
Now, the common factors can be found like this.
868:2x 2x 7x 31
837:3x 3x 3x 31
328:2x 2x 2x 41
429:3x 11x 13
682:2x 11x 31
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 11x 31x 31 = 253704
Therefore, the value for common factors is 253704.
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 = 69720532225344/(1x253704)
LCM = 69720532225344/253704
LCM = 274810536
Thus, we can understand that the LCM of 868,837,328,429,682 is 274810536.
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FAQs on LCM of 868, 837, 328, 429, 682
1. What is the LCM of 868, 837, 328, 429, 682?
Answer: LCM of 868, 837, 328, 429, 682 is 274810536.
2. How to calculate the LCM of 868, 837, 328, 429, 682?
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 868, 837, 328, 429, 682.
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}.