Find the LCM of 492, 757, 817, 514, 860 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 492, 757, 817, 514, 860. So, keep reading to learn more.
Given numbers are 492,757,817,514,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,757,817,514,860 is 391008471180.
Find LCM of 492,757,817,514,860 with Prime Factorization
2 | 492, 757, 817, 514, 860 |
2 | 246, 757, 817, 257, 430 |
43 | 123, 757, 817, 257, 215 |
123, 757, 19, 257, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 123 x 757 x 19 x 257 x 5 = 391008471180
Therefore, the lowest common multiple of 492,757,817,514,860 is 391008471180.
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.
492 x 757 x 817 x 514 x 860 = 134506914085920
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
757 : 1, 757
817 : 1, 19, 43, 817
514 : 1, 2, 257, 514
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,757,817,514,860, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
757:757
817:19x 43
514:2x 257
860:2x 2x 5x 43
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 2x 43 = 344
Therefore, the value for common factors is 344.
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 = 134506914085920/(1x344)
LCM = 134506914085920/344
LCM = 391008471180
Thus, we can understand that the LCM of 492,757,817,514,860 is 391008471180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 492, 757, 817, 514, 860?
Answer: LCM of 492, 757, 817, 514, 860 is 391008471180.
2. How to calculate the LCM of 492, 757, 817, 514, 860?
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 492, 757, 817, 514, 860.
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}.