LCM of 299, 749, 575, 398, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 299, 749, 575, 398, 198 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 299, 749, 575, 398, 198. So, keep reading to learn more.
Given numbers are 299,749,575,398,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,749,575,398,198 is 220602932550.
Find LCM of 299,749,575,398,198 with Prime Factorization
| 2 | 299, 749, 575, 398, 198 |
| 23 | 299, 749, 575, 199, 99 |
| 13, 749, 25, 199, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 13 x 749 x 25 x 199 x 99 = 220602932550
Therefore, the lowest common multiple of 299,749,575,398,198 is 220602932550.
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.
299 x 749 x 575 x 398 x 198 = 10147734897300
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.
299 : 1, 13, 23, 299
749 : 1, 7, 107, 749
575 : 1, 5, 23, 25, 115, 575
398 : 1, 2, 199, 398
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,749,575,398,198, is 1.
Now, the common factors can be found like this.
299:13x 23
749:7x 107
575:5x 5x 23
398:2x 199
198:2x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 10147734897300/(1x46)
LCM = 10147734897300/46
LCM = 220602932550
Thus, we can understand that the LCM of 299,749,575,398,198 is 220602932550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 299, 749, 575, 398, 198
1. What is the LCM of 299, 749, 575, 398, 198?
Answer: LCM of 299, 749, 575, 398, 198 is 220602932550.
2. How to calculate the LCM of 299, 749, 575, 398, 198?
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 299, 749, 575, 398, 198.
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}.