Find the LCM of 902, 222, 703, 331 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 902, 222, 703, 331. So, keep reading to learn more.
Given numbers are 902,222,703,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,222,703,331 is 629667258.
Find LCM of 902,222,703,331 with Prime Factorization
2 | 902, 222, 703, 331 |
37 | 451, 111, 703, 331 |
451, 3, 19, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 451 x 3 x 19 x 331 = 629667258
Therefore, the lowest common multiple of 902,222,703,331 is 629667258.
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.
902 x 222 x 703 x 331 = 46595377092
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
222 : 1, 2, 3, 6, 37, 74, 111, 222
703 : 1, 19, 37, 703
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,222,703,331, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
222:2x 3x 37
703:19x 37
331:331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 37 = 74
Therefore, the value for common factors is 74.
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 = 46595377092/(1x74)
LCM = 46595377092/74
LCM = 629667258
Thus, we can understand that the LCM of 902,222,703,331 is 629667258.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 902, 222, 703, 331?
Answer: LCM of 902, 222, 703, 331 is 629667258.
2. How to calculate the LCM of 902, 222, 703, 331?
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 902, 222, 703, 331.
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}.