Find the LCM of 159, 598, 121, 299, 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 159, 598, 121, 299, 378. So, keep reading to learn more.
Given numbers are 159,598,121,299,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,598,121,299,378 is 724810086.
Find LCM of 159,598,121,299,378 with Prime Factorization
2 | 159, 598, 121, 299, 378 |
3 | 159, 299, 121, 299, 189 |
13 | 53, 299, 121, 299, 63 |
23 | 53, 23, 121, 23, 63 |
53, 1, 121, 1, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 53 x 1 x 121 x 1 x 63 = 724810086
Therefore, the lowest common multiple of 159,598,121,299,378 is 724810086.
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.
159 x 598 x 121 x 299 x 378 = 1300309294284
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.
159 : 1, 3, 53, 159
598 : 1, 2, 13, 23, 26, 46, 299, 598
121 : 1, 11, 121
299 : 1, 13, 23, 299
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 159,598,121,299,378, is 1.
Now, the common factors can be found like this.
159:3x 53
598:2x 13x 23
121:11x 11
299:13x 23
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.
2x 3x 13x 23 = 1794
Therefore, the value for common factors is 1794.
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 = 1300309294284/(1x1794)
LCM = 1300309294284/1794
LCM = 724810086
Thus, we can understand that the LCM of 159,598,121,299,378 is 724810086.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 159, 598, 121, 299, 378?
Answer: LCM of 159, 598, 121, 299, 378 is 724810086.
2. How to calculate the LCM of 159, 598, 121, 299, 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 159, 598, 121, 299, 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}.