Find the LCM of 462, 599, 599, 965, 549 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 462, 599, 599, 965, 549. So, keep reading to learn more.
Given numbers are 462,599,599,965,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,599,599,965,549 is 48870547110.
Find LCM of 462,599,599,965,549 with Prime Factorization
3 | 462, 599, 599, 965, 549 |
599 | 154, 599, 599, 965, 183 |
154, 1, 1, 965, 183 |
Multiply the prime numbers at the bottom and the left side.
3 x 599 x 154 x 1 x 1 x 965 x 183 = 48870547110
Therefore, the lowest common multiple of 462,599,599,965,549 is 48870547110.
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.
462 x 599 x 599 x 965 x 549 = 87820373156670
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
599 : 1, 599
599 : 1, 599
965 : 1, 5, 193, 965
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,599,599,965,549, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
599:599
599:599
965:5x 193
549:3x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 599 = 1797
Therefore, the value for common factors is 1797.
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 = 87820373156670/(1x1797)
LCM = 87820373156670/1797
LCM = 48870547110
Thus, we can understand that the LCM of 462,599,599,965,549 is 48870547110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 462, 599, 599, 965, 549?
Answer: LCM of 462, 599, 599, 965, 549 is 48870547110.
2. How to calculate the LCM of 462, 599, 599, 965, 549?
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 462, 599, 599, 965, 549.
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}.