Find the LCM of 572, 386, 386, 965 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 572, 386, 386, 965. So, keep reading to learn more.
Given numbers are 572,386,386,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,386,386,965 is 551980.
Find LCM of 572,386,386,965 with Prime Factorization
2 | 572, 386, 386, 965 |
193 | 286, 193, 193, 965 |
286, 1, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 193 x 286 x 1 x 1 x 5 = 551980
Therefore, the lowest common multiple of 572,386,386,965 is 551980.
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.
572 x 386 x 386 x 965 = 82242812080
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
386 : 1, 2, 193, 386
386 : 1, 2, 193, 386
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,386,386,965, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
386:2x 193
386:2x 193
965:5x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 193x 193 = 148996
Therefore, the value for common factors is 148996.
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 = 82242812080/(1x148996)
LCM = 82242812080/148996
LCM = 551980
Thus, we can understand that the LCM of 572,386,386,965 is 551980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 386, 386, 965?
Answer: LCM of 572, 386, 386, 965 is 551980.
2. How to calculate the LCM of 572, 386, 386, 965?
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 572, 386, 386, 965.
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}.