LCM of 858, 682, 132, 985, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 682, 132, 985, 594 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 858, 682, 132, 985, 594. So, keep reading to learn more.
Given numbers are 858,682,132,985,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,682,132,985,594 is 471582540.
Find LCM of 858,682,132,985,594 with Prime Factorization
| 2 | 858, 682, 132, 985, 594 |
| 3 | 429, 341, 66, 985, 297 |
| 11 | 143, 341, 22, 985, 99 |
| 13, 31, 2, 985, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 31 x 2 x 985 x 9 = 471582540
Therefore, the lowest common multiple of 858,682,132,985,594 is 471582540.
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.
858 x 682 x 132 x 985 x 594 = 45192697973280
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
682 : 1, 2, 11, 22, 31, 62, 341, 682
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
985 : 1, 5, 197, 985
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,682,132,985,594, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
682:2x 11x 31
132:2x 2x 3x 11
985:5x 197
594:2x 3x 3x 3x 11
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 3x 11x 11x 11 = 95832
Therefore, the value for common factors is 95832.
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 = 45192697973280/(1x95832)
LCM = 45192697973280/95832
LCM = 471582540
Thus, we can understand that the LCM of 858,682,132,985,594 is 471582540.
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FAQs on LCM of 858, 682, 132, 985, 594
1. What is the LCM of 858, 682, 132, 985, 594?
Answer: LCM of 858, 682, 132, 985, 594 is 471582540.
2. How to calculate the LCM of 858, 682, 132, 985, 594?
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 858, 682, 132, 985, 594.
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}.