Find the LCM of 732, 697, 860, 260, 861 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 732, 697, 860, 260, 861. So, keep reading to learn more.
Given numbers are 732,697,860,260,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,697,860,260,861 is 9982141260.
Find LCM of 732,697,860,260,861 with Prime Factorization
2 | 732, 697, 860, 260, 861 |
2 | 366, 697, 430, 130, 861 |
3 | 183, 697, 215, 65, 861 |
5 | 61, 697, 215, 65, 287 |
41 | 61, 697, 43, 13, 287 |
61, 17, 43, 13, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 41 x 61 x 17 x 43 x 13 x 7 = 9982141260
Therefore, the lowest common multiple of 732,697,860,260,861 is 9982141260.
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.
732 x 697 x 860 x 260 x 861 = 98224269998400
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
697 : 1, 17, 41, 697
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,697,860,260,861, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
697:17x 41
860:2x 2x 5x 43
260:2x 2x 5x 13
861:3x 7x 41
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 2x 3x 5x 41 = 9840
Therefore, the value for common factors is 9840.
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 = 98224269998400/(1x9840)
LCM = 98224269998400/9840
LCM = 9982141260
Thus, we can understand that the LCM of 732,697,860,260,861 is 9982141260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 732, 697, 860, 260, 861?
Answer: LCM of 732, 697, 860, 260, 861 is 9982141260.
2. How to calculate the LCM of 732, 697, 860, 260, 861?
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 732, 697, 860, 260, 861.
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}.