Find the LCM of 919, 473, 438, 301, 473 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 919, 473, 438, 301, 473. So, keep reading to learn more.
Given numbers are 919,473,438,301,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 919,473,438,301,473 is 1332750342.
Find LCM of 919,473,438,301,473 with Prime Factorization
11 | 919, 473, 438, 301, 473 |
43 | 919, 43, 438, 301, 43 |
919, 1, 438, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 43 x 919 x 1 x 438 x 7 x 1 = 1332750342
Therefore, the lowest common multiple of 919,473,438,301,473 is 1332750342.
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.
919 x 473 x 438 x 301 x 473 = 27106809205938
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.
919 : 1, 919
473 : 1, 11, 43, 473
438 : 1, 2, 3, 6, 73, 146, 219, 438
301 : 1, 7, 43, 301
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,473,438,301,473, is 1.
Now, the common factors can be found like this.
919:919
473:11x 43
438:2x 3x 73
301:7x 43
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 43x 43 = 20339
Therefore, the value for common factors is 20339.
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 = 27106809205938/(1x20339)
LCM = 27106809205938/20339
LCM = 1332750342
Thus, we can understand that the LCM of 919,473,438,301,473 is 1332750342.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 919, 473, 438, 301, 473?
Answer: LCM of 919, 473, 438, 301, 473 is 1332750342.
2. How to calculate the LCM of 919, 473, 438, 301, 473?
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 919, 473, 438, 301, 473.
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}.