LCM of 815, 851, 695, 230, 740
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 815, 851, 695, 230, 740 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, 851, 695, 230, 740. So, keep reading to learn more.
Given numbers are 815,851,695,230,740
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,851,695,230,740 is 385622140.
Find LCM of 815,851,695,230,740 with Prime Factorization
| 2 | 815, 851, 695, 230, 740 |
| 5 | 815, 851, 695, 115, 370 |
| 23 | 163, 851, 139, 23, 74 |
| 37 | 163, 37, 139, 1, 74 |
| 163, 1, 139, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 37 x 163 x 1 x 139 x 1 x 2 = 385622140
Therefore, the lowest common multiple of 815,851,695,230,740 is 385622140.
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 851 x 695 x 230 x 740 = 82041110285000
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
851 : 1, 23, 37, 851
695 : 1, 5, 139, 695
230 : 1, 2, 5, 10, 23, 46, 115, 230
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,851,695,230,740, is 1.
Now, the common factors can be found like this.
815:5x 163
851:23x 37
695:5x 139
230:2x 5x 23
740:2x 2x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5x 23x 37 = 212750
Therefore, the value for common factors is 212750.
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 = 82041110285000/(1x212750)
LCM = 82041110285000/212750
LCM = 385622140
Thus, we can understand that the LCM of 815,851,695,230,740 is 385622140.
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FAQs on LCM of 815, 851, 695, 230, 740
1. What is the LCM of 815, 851, 695, 230, 740?
Answer: LCM of 815, 851, 695, 230, 740 is 385622140.
2. How to calculate the LCM of 815, 851, 695, 230, 740?
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, 851, 695, 230, 740.
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}.