LCM of 807, 361, 435, 313
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 807, 361, 435, 313 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 807, 361, 435, 313. So, keep reading to learn more.
Given numbers are 807,361,435,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,361,435,313 is 13221875895.
Find LCM of 807,361,435,313 with Prime Factorization
| 3 | 807, 361, 435, 313 |
| 269, 361, 145, 313 |
Multiply the prime numbers at the bottom and the left side.
3 x 269 x 361 x 145 x 313 = 13221875895
Therefore, the lowest common multiple of 807,361,435,313 is 13221875895.
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.
807 x 361 x 435 x 313 = 39665627685
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.
807 : 1, 3, 269, 807
361 : 1, 19, 361
435 : 1, 3, 5, 15, 29, 87, 145, 435
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,361,435,313, is 1.
Now, the common factors can be found like this.
807:3x 269
361:19x 19
435:3x 5x 29
313:313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 39665627685/(1x3)
LCM = 39665627685/3
LCM = 13221875895
Thus, we can understand that the LCM of 807,361,435,313 is 13221875895.
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FAQs on LCM of 807, 361, 435, 313
1. What is the LCM of 807, 361, 435, 313?
Answer: LCM of 807, 361, 435, 313 is 13221875895.
2. How to calculate the LCM of 807, 361, 435, 313?
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 807, 361, 435, 313.
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}.