Find the LCM of 473, 353, 713, 437, 941 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 473, 353, 713, 437, 941. So, keep reading to learn more.
Given numbers are 473,353,713,437,941
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,353,713,437,941 is 2128475229463.
Find LCM of 473,353,713,437,941 with Prime Factorization
23 | 473, 353, 713, 437, 941 |
473, 353, 31, 19, 941 |
Multiply the prime numbers at the bottom and the left side.
23 x 473 x 353 x 31 x 19 x 941 = 2128475229463
Therefore, the lowest common multiple of 473,353,713,437,941 is 2128475229463.
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.
473 x 353 x 713 x 437 x 941 = 48954930277649
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.
473 : 1, 11, 43, 473
353 : 1, 353
713 : 1, 23, 31, 713
437 : 1, 19, 23, 437
941 : 1, 941
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,353,713,437,941, is 1.
Now, the common factors can be found like this.
473:11x 43
353:353
713:23x 31
437:19x 23
941:941
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 48954930277649/(1x23)
LCM = 48954930277649/23
LCM = 2128475229463
Thus, we can understand that the LCM of 473,353,713,437,941 is 2128475229463.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 473, 353, 713, 437, 941?
Answer: LCM of 473, 353, 713, 437, 941 is 2128475229463.
2. How to calculate the LCM of 473, 353, 713, 437, 941?
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 473, 353, 713, 437, 941.
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}.