Find the LCM of 374, 616, 287, 841, 369 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 374, 616, 287, 841, 369. So, keep reading to learn more.
Given numbers are 374,616,287,841,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,616,287,841,369 is 3249765288.
Find LCM of 374,616,287,841,369 with Prime Factorization
2 | 374, 616, 287, 841, 369 |
7 | 187, 308, 287, 841, 369 |
11 | 187, 44, 41, 841, 369 |
41 | 17, 4, 41, 841, 369 |
17, 4, 1, 841, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 41 x 17 x 4 x 1 x 841 x 9 = 3249765288
Therefore, the lowest common multiple of 374,616,287,841,369 is 3249765288.
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.
374 x 616 x 287 x 841 x 369 = 20519018028432
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
287 : 1, 7, 41, 287
841 : 1, 29, 841
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,616,287,841,369, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
616:2x 2x 2x 7x 11
287:7x 41
841:29x 29
369:3x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 11x 41 = 6314
Therefore, the value for common factors is 6314.
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 = 20519018028432/(1x6314)
LCM = 20519018028432/6314
LCM = 3249765288
Thus, we can understand that the LCM of 374,616,287,841,369 is 3249765288.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 374, 616, 287, 841, 369?
Answer: LCM of 374, 616, 287, 841, 369 is 3249765288.
2. How to calculate the LCM of 374, 616, 287, 841, 369?
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 374, 616, 287, 841, 369.
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}.