LCM of 815, 374, 253, 349
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 815, 374, 253, 349 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 815, 374, 253, 349. So, keep reading to learn more.
Given numbers are 815,374,253,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,374,253,349 is 2446709870.
Find LCM of 815,374,253,349 with Prime Factorization
| 11 | 815, 374, 253, 349 |
| 815, 34, 23, 349 |
Multiply the prime numbers at the bottom and the left side.
11 x 815 x 34 x 23 x 349 = 2446709870
Therefore, the lowest common multiple of 815,374,253,349 is 2446709870.
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.
815 x 374 x 253 x 349 = 26913808570
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.
815 : 1, 5, 163, 815
374 : 1, 2, 11, 17, 22, 34, 187, 374
253 : 1, 11, 23, 253
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,374,253,349, is 1.
Now, the common factors can be found like this.
815:5x 163
374:2x 11x 17
253:11x 23
349:349
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 26913808570/(1x11)
LCM = 26913808570/11
LCM = 2446709870
Thus, we can understand that the LCM of 815,374,253,349 is 2446709870.
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FAQs on LCM of 815, 374, 253, 349
1. What is the LCM of 815, 374, 253, 349?
Answer: LCM of 815, 374, 253, 349 is 2446709870.
2. How to calculate the LCM of 815, 374, 253, 349?
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 815, 374, 253, 349.
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}.