LCM of 589, 859, 690, 893, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 859, 690, 893, 975 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 589, 859, 690, 893, 975. So, keep reading to learn more.
Given numbers are 589,859,690,893,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,859,690,893,975 is 1066519410450.
Find LCM of 589,859,690,893,975 with Prime Factorization
| 3 | 589, 859, 690, 893, 975 |
| 5 | 589, 859, 230, 893, 325 |
| 19 | 589, 859, 46, 893, 65 |
| 31, 859, 46, 47, 65 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 31 x 859 x 46 x 47 x 65 = 1066519410450
Therefore, the lowest common multiple of 589,859,690,893,975 is 1066519410450.
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.
589 x 859 x 690 x 893 x 975 = 303958031978250
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.
589 : 1, 19, 31, 589
859 : 1, 859
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
893 : 1, 19, 47, 893
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,859,690,893,975, is 1.
Now, the common factors can be found like this.
589:19x 31
859:859
690:2x 3x 5x 23
893:19x 47
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 19 = 285
Therefore, the value for common factors is 285.
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 = 303958031978250/(1x285)
LCM = 303958031978250/285
LCM = 1066519410450
Thus, we can understand that the LCM of 589,859,690,893,975 is 1066519410450.
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FAQs on LCM of 589, 859, 690, 893, 975
1. What is the LCM of 589, 859, 690, 893, 975?
Answer: LCM of 589, 859, 690, 893, 975 is 1066519410450.
2. How to calculate the LCM of 589, 859, 690, 893, 975?
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 589, 859, 690, 893, 975.
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}.