Find the LCM of 702, 958, 541, 471 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 702, 958, 541, 471. So, keep reading to learn more.
Given numbers are 702,958,541,471
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,958,541,471 is 28560745746.
Find LCM of 702,958,541,471 with Prime Factorization
2 | 702, 958, 541, 471 |
3 | 351, 479, 541, 471 |
117, 479, 541, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 117 x 479 x 541 x 157 = 28560745746
Therefore, the lowest common multiple of 702,958,541,471 is 28560745746.
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.
702 x 958 x 541 x 471 = 171364474476
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
958 : 1, 2, 479, 958
541 : 1, 541
471 : 1, 3, 157, 471
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,958,541,471, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
958:2x 479
541:541
471:3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 171364474476/(1x6)
LCM = 171364474476/6
LCM = 28560745746
Thus, we can understand that the LCM of 702,958,541,471 is 28560745746.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 702, 958, 541, 471?
Answer: LCM of 702, 958, 541, 471 is 28560745746.
2. How to calculate the LCM of 702, 958, 541, 471?
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 702, 958, 541, 471.
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}.