Find the LCM of 445, 748, 439, 551, 378 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 445, 748, 439, 551, 378. So, keep reading to learn more.
Given numbers are 445,748,439,551,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 445,748,439,551,378 is 15217367610060.
Find LCM of 445,748,439,551,378 with Prime Factorization
2 | 445, 748, 439, 551, 378 |
445, 374, 439, 551, 189 |
Multiply the prime numbers at the bottom and the left side.
2 x 445 x 374 x 439 x 551 x 189 = 15217367610060
Therefore, the lowest common multiple of 445,748,439,551,378 is 15217367610060.
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.
445 x 748 x 439 x 551 x 378 = 30434735220120
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.
445 : 1, 5, 89, 445
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
439 : 1, 439
551 : 1, 19, 29, 551
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,748,439,551,378, is 1.
Now, the common factors can be found like this.
445:5x 89
748:2x 2x 11x 17
439:439
551:19x 29
378:2x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 30434735220120/(1x2)
LCM = 30434735220120/2
LCM = 15217367610060
Thus, we can understand that the LCM of 445,748,439,551,378 is 15217367610060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 445, 748, 439, 551, 378?
Answer: LCM of 445, 748, 439, 551, 378 is 15217367610060.
2. How to calculate the LCM of 445, 748, 439, 551, 378?
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 445, 748, 439, 551, 378.
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}.