LCM of 715, 808, 386, 935, 967
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 808, 386, 935, 967 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 715, 808, 386, 935, 967. So, keep reading to learn more.
Given numbers are 715,808,386,935,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,808,386,935,967 is 1832947842440.
Find LCM of 715,808,386,935,967 with Prime Factorization
| 2 | 715, 808, 386, 935, 967 |
| 5 | 715, 404, 193, 935, 967 |
| 11 | 143, 404, 193, 187, 967 |
| 13, 404, 193, 17, 967 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 404 x 193 x 17 x 967 = 1832947842440
Therefore, the lowest common multiple of 715,808,386,935,967 is 1832947842440.
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.
715 x 808 x 386 x 935 x 967 = 201624262668400
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
808 : 1, 2, 4, 8, 101, 202, 404, 808
386 : 1, 2, 193, 386
935 : 1, 5, 11, 17, 55, 85, 187, 935
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,808,386,935,967, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
808:2x 2x 2x 101
386:2x 193
935:5x 11x 17
967:967
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 11 = 110
Therefore, the value for common factors is 110.
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 = 201624262668400/(1x110)
LCM = 201624262668400/110
LCM = 1832947842440
Thus, we can understand that the LCM of 715,808,386,935,967 is 1832947842440.
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FAQs on LCM of 715, 808, 386, 935, 967
1. What is the LCM of 715, 808, 386, 935, 967?
Answer: LCM of 715, 808, 386, 935, 967 is 1832947842440.
2. How to calculate the LCM of 715, 808, 386, 935, 967?
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 715, 808, 386, 935, 967.
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}.