Find the LCM of 782, 410, 851, 705, 231 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 782, 410, 851, 705, 231. So, keep reading to learn more.
Given numbers are 782,410,851,705,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,410,851,705,231 is 64397969790.
Find LCM of 782,410,851,705,231 with Prime Factorization
2 | 782, 410, 851, 705, 231 |
3 | 391, 205, 851, 705, 231 |
5 | 391, 205, 851, 235, 77 |
23 | 391, 41, 851, 47, 77 |
17, 41, 37, 47, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 17 x 41 x 37 x 47 x 77 = 64397969790
Therefore, the lowest common multiple of 782,410,851,705,231 is 64397969790.
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.
782 x 410 x 851 x 705 x 231 = 44434599155100
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
410 : 1, 2, 5, 10, 41, 82, 205, 410
851 : 1, 23, 37, 851
705 : 1, 3, 5, 15, 47, 141, 235, 705
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,410,851,705,231, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
410:2x 5x 41
851:23x 37
705:3x 5x 47
231:3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 23 = 690
Therefore, the value for common factors is 690.
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 = 44434599155100/(1x690)
LCM = 44434599155100/690
LCM = 64397969790
Thus, we can understand that the LCM of 782,410,851,705,231 is 64397969790.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 782, 410, 851, 705, 231?
Answer: LCM of 782, 410, 851, 705, 231 is 64397969790.
2. How to calculate the LCM of 782, 410, 851, 705, 231?
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 782, 410, 851, 705, 231.
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}.