LCM of 742, 297, 715, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 297, 715, 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 742, 297, 715, 198. So, keep reading to learn more.
Given numbers are 742,297,715,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,297,715,198 is 14324310.
Find LCM of 742,297,715,198 with Prime Factorization
| 2 | 742, 297, 715, 198 |
| 3 | 371, 297, 715, 99 |
| 3 | 371, 33, 715, 99 |
| 11 | 371, 11, 715, 33 |
| 371, 1, 65, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 371 x 1 x 65 x 3 = 14324310
Therefore, the lowest common multiple of 742,297,715,198 is 14324310.
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.
742 x 297 x 715 x 198 = 31198347180
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
297 : 1, 3, 9, 11, 27, 33, 99, 297
715 : 1, 5, 11, 13, 55, 65, 143, 715
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 742,297,715,198, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
297:3x 3x 3x 11
715:5x 11x 13
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 3x 3x 11x 11 = 2178
Therefore, the value for common factors is 2178.
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 = 31198347180/(1x2178)
LCM = 31198347180/2178
LCM = 14324310
Thus, we can understand that the LCM of 742,297,715,198 is 14324310.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 742, 297, 715, 198
1. What is the LCM of 742, 297, 715, 198?
Answer: LCM of 742, 297, 715, 198 is 14324310.
2. How to calculate the LCM of 742, 297, 715, 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 742, 297, 715, 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}.