LCM of 835, 872, 221, 377, 700
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 835, 872, 221, 377, 700 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 835, 872, 221, 377, 700. So, keep reading to learn more.
Given numbers are 835,872,221,377,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,872,221,377,700 is 163328237800.
Find LCM of 835,872,221,377,700 with Prime Factorization
| 2 | 835, 872, 221, 377, 700 |
| 2 | 835, 436, 221, 377, 350 |
| 5 | 835, 218, 221, 377, 175 |
| 13 | 167, 218, 221, 377, 35 |
| 167, 218, 17, 29, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 167 x 218 x 17 x 29 x 35 = 163328237800
Therefore, the lowest common multiple of 835,872,221,377,700 is 163328237800.
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.
835 x 872 x 221 x 377 x 700 = 42465341828000
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.
835 : 1, 5, 167, 835
872 : 1, 2, 4, 8, 109, 218, 436, 872
221 : 1, 13, 17, 221
377 : 1, 13, 29, 377
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,872,221,377,700, is 1.
Now, the common factors can be found like this.
835:5x 167
872:2x 2x 2x 109
221:13x 17
377:13x 29
700:2x 2x 5x 5x 7
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 5x 13 = 260
Therefore, the value for common factors is 260.
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 = 42465341828000/(1x260)
LCM = 42465341828000/260
LCM = 163328237800
Thus, we can understand that the LCM of 835,872,221,377,700 is 163328237800.
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FAQs on LCM of 835, 872, 221, 377, 700
1. What is the LCM of 835, 872, 221, 377, 700?
Answer: LCM of 835, 872, 221, 377, 700 is 163328237800.
2. How to calculate the LCM of 835, 872, 221, 377, 700?
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 835, 872, 221, 377, 700.
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}.