Find the LCM of 291, 715, 398, 520, 821 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 291, 715, 398, 520, 821. So, keep reading to learn more.
Given numbers are 291,715,398,520,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,715,398,520,821 is 271947613080.
Find LCM of 291,715,398,520,821 with Prime Factorization
2 | 291, 715, 398, 520, 821 |
5 | 291, 715, 199, 260, 821 |
13 | 291, 143, 199, 52, 821 |
291, 11, 199, 4, 821 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 291 x 11 x 199 x 4 x 821 = 271947613080
Therefore, the lowest common multiple of 291,715,398,520,821 is 271947613080.
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.
291 x 715 x 398 x 520 x 821 = 35353189700400
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.
291 : 1, 3, 97, 291
715 : 1, 5, 11, 13, 55, 65, 143, 715
398 : 1, 2, 199, 398
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,715,398,520,821, is 1.
Now, the common factors can be found like this.
291:3x 97
715:5x 11x 13
398:2x 199
520:2x 2x 2x 5x 13
821:821
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 13 = 130
Therefore, the value for common factors is 130.
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 = 35353189700400/(1x130)
LCM = 35353189700400/130
LCM = 271947613080
Thus, we can understand that the LCM of 291,715,398,520,821 is 271947613080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 291, 715, 398, 520, 821?
Answer: LCM of 291, 715, 398, 520, 821 is 271947613080.
2. How to calculate the LCM of 291, 715, 398, 520, 821?
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 291, 715, 398, 520, 821.
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}.