LCM of 842, 207, 575, 693, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 207, 575, 693, 403 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 842, 207, 575, 693, 403. So, keep reading to learn more.
Given numbers are 842,207,575,693,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,207,575,693,403 is 135212927850.
Find LCM of 842,207,575,693,403 with Prime Factorization
| 3 | 842, 207, 575, 693, 403 |
| 3 | 842, 69, 575, 231, 403 |
| 23 | 842, 23, 575, 77, 403 |
| 842, 1, 25, 77, 403 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 23 x 842 x 1 x 25 x 77 x 403 = 135212927850
Therefore, the lowest common multiple of 842,207,575,693,403 is 135212927850.
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.
842 x 207 x 575 x 693 x 403 = 27989076064950
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.
842 : 1, 2, 421, 842
207 : 1, 3, 9, 23, 69, 207
575 : 1, 5, 23, 25, 115, 575
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,207,575,693,403, is 1.
Now, the common factors can be found like this.
842:2x 421
207:3x 3x 23
575:5x 5x 23
693:3x 3x 7x 11
403:13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23 = 207
Therefore, the value for common factors is 207.
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 = 27989076064950/(1x207)
LCM = 27989076064950/207
LCM = 135212927850
Thus, we can understand that the LCM of 842,207,575,693,403 is 135212927850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 842, 207, 575, 693, 403
1. What is the LCM of 842, 207, 575, 693, 403?
Answer: LCM of 842, 207, 575, 693, 403 is 135212927850.
2. How to calculate the LCM of 842, 207, 575, 693, 403?
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 842, 207, 575, 693, 403.
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}.