Find the LCM of 305, 703, 222, 851, 533 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 305, 703, 222, 851, 533. So, keep reading to learn more.
Given numbers are 305,703,222,851,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,703,222,851,533 is 15771080910.
Find LCM of 305,703,222,851,533 with Prime Factorization
37 | 305, 703, 222, 851, 533 |
305, 19, 6, 23, 533 |
Multiply the prime numbers at the bottom and the left side.
37 x 305 x 19 x 6 x 23 x 533 = 15771080910
Therefore, the lowest common multiple of 305,703,222,851,533 is 15771080910.
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.
305 x 703 x 222 x 851 x 533 = 21590609765790
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.
305 : 1, 5, 61, 305
703 : 1, 19, 37, 703
222 : 1, 2, 3, 6, 37, 74, 111, 222
851 : 1, 23, 37, 851
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,703,222,851,533, is 1.
Now, the common factors can be found like this.
305:5x 61
703:19x 37
222:2x 3x 37
851:23x 37
533:13x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
37x 37 = 1369
Therefore, the value for common factors is 1369.
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 = 21590609765790/(1x1369)
LCM = 21590609765790/1369
LCM = 15771080910
Thus, we can understand that the LCM of 305,703,222,851,533 is 15771080910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 305, 703, 222, 851, 533?
Answer: LCM of 305, 703, 222, 851, 533 is 15771080910.
2. How to calculate the LCM of 305, 703, 222, 851, 533?
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 305, 703, 222, 851, 533.
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}.