Find the LCM of 398, 473, 221, 565, 377 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 398, 473, 221, 565, 377. So, keep reading to learn more.
Given numbers are 398,473,221,565,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,473,221,565,377 is 681683735590.
Find LCM of 398,473,221,565,377 with Prime Factorization
13 | 398, 473, 221, 565, 377 |
398, 473, 17, 565, 29 |
Multiply the prime numbers at the bottom and the left side.
13 x 398 x 473 x 17 x 565 x 29 = 681683735590
Therefore, the lowest common multiple of 398,473,221,565,377 is 681683735590.
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.
398 x 473 x 221 x 565 x 377 = 8861888562670
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.
398 : 1, 2, 199, 398
473 : 1, 11, 43, 473
221 : 1, 13, 17, 221
565 : 1, 5, 113, 565
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,473,221,565,377, is 1.
Now, the common factors can be found like this.
398:2x 199
473:11x 43
221:13x 17
565:5x 113
377:13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 8861888562670/(1x13)
LCM = 8861888562670/13
LCM = 681683735590
Thus, we can understand that the LCM of 398,473,221,565,377 is 681683735590.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 398, 473, 221, 565, 377?
Answer: LCM of 398, 473, 221, 565, 377 is 681683735590.
2. How to calculate the LCM of 398, 473, 221, 565, 377?
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 398, 473, 221, 565, 377.
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}.