LCM of 859, 741, 798, 714, 661
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 859, 741, 798, 714, 661 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 859, 741, 798, 714, 661. So, keep reading to learn more.
Given numbers are 859,741,798,714,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 859,741,798,714,661 is 100135896042.
Find LCM of 859,741,798,714,661 with Prime Factorization
| 2 | 859, 741, 798, 714, 661 |
| 3 | 859, 741, 399, 357, 661 |
| 7 | 859, 247, 133, 119, 661 |
| 19 | 859, 247, 19, 17, 661 |
| 859, 13, 1, 17, 661 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 859 x 13 x 1 x 17 x 661 = 100135896042
Therefore, the lowest common multiple of 859,741,798,714,661 is 100135896042.
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.
859 x 741 x 798 x 714 x 661 = 239725335124548
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.
859 : 1, 859
741 : 1, 3, 13, 19, 39, 57, 247, 741
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,741,798,714,661, is 1.
Now, the common factors can be found like this.
859:859
741:3x 13x 19
798:2x 3x 7x 19
714:2x 3x 7x 17
661:661
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 19 = 2394
Therefore, the value for common factors is 2394.
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 = 239725335124548/(1x2394)
LCM = 239725335124548/2394
LCM = 100135896042
Thus, we can understand that the LCM of 859,741,798,714,661 is 100135896042.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 859, 741, 798, 714, 661
1. What is the LCM of 859, 741, 798, 714, 661?
Answer: LCM of 859, 741, 798, 714, 661 is 100135896042.
2. How to calculate the LCM of 859, 741, 798, 714, 661?
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 859, 741, 798, 714, 661.
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}.