LCM of 858, 889, 169, 594, 734
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 889, 169, 594, 734 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, 889, 169, 594, 734. So, keep reading to learn more.
Given numbers are 858,889,169,594,734
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,889,169,594,734 is 32752237518.
Find LCM of 858,889,169,594,734 with Prime Factorization
| 2 | 858, 889, 169, 594, 734 |
| 3 | 429, 889, 169, 297, 367 |
| 11 | 143, 889, 169, 99, 367 |
| 13 | 13, 889, 169, 9, 367 |
| 1, 889, 13, 9, 367 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 1 x 889 x 13 x 9 x 367 = 32752237518
Therefore, the lowest common multiple of 858,889,169,594,734 is 32752237518.
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 889 x 169 x 594 x 734 = 56202839580888
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
889 : 1, 7, 127, 889
169 : 1, 13, 169
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
734 : 1, 2, 367, 734
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,889,169,594,734, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
889:7x 127
169:13x 13
594:2x 3x 3x 3x 11
734:2x 367
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 3x 11x 13 = 1716
Therefore, the value for common factors is 1716.
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 = 56202839580888/(1x1716)
LCM = 56202839580888/1716
LCM = 32752237518
Thus, we can understand that the LCM of 858,889,169,594,734 is 32752237518.
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FAQs on LCM of 858, 889, 169, 594, 734
1. What is the LCM of 858, 889, 169, 594, 734?
Answer: LCM of 858, 889, 169, 594, 734 is 32752237518.
2. How to calculate the LCM of 858, 889, 169, 594, 734?
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, 889, 169, 594, 734.
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}.