LCM of 462, 817, 989, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 817, 989, 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 462, 817, 989, 682. So, keep reading to learn more.
Given numbers are 462,817,989,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,817,989,682 is 269124702.
Find LCM of 462,817,989,682 with Prime Factorization
| 2 | 462, 817, 989, 682 |
| 11 | 231, 817, 989, 341 |
| 43 | 21, 817, 989, 31 |
| 21, 19, 23, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 43 x 21 x 19 x 23 x 31 = 269124702
Therefore, the lowest common multiple of 462,817,989,682 is 269124702.
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.
462 x 817 x 989 x 682 = 254591968092
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
817 : 1, 19, 43, 817
989 : 1, 23, 43, 989
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 462,817,989,682, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
817:19x 43
989:23x 43
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 11x 43 = 946
Therefore, the value for common factors is 946.
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 = 254591968092/(1x946)
LCM = 254591968092/946
LCM = 269124702
Thus, we can understand that the LCM of 462,817,989,682 is 269124702.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 462, 817, 989, 682
1. What is the LCM of 462, 817, 989, 682?
Answer: LCM of 462, 817, 989, 682 is 269124702.
2. How to calculate the LCM of 462, 817, 989, 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 462, 817, 989, 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}.