LCM of 358, 744, 726, 442, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 744, 726, 442, 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 358, 744, 726, 442, 198. So, keep reading to learn more.
Given numbers are 358,744,726,442,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,744,726,442,198 is 10683778248.
Find LCM of 358,744,726,442,198 with Prime Factorization
| 2 | 358, 744, 726, 442, 198 |
| 3 | 179, 372, 363, 221, 99 |
| 11 | 179, 124, 121, 221, 33 |
| 179, 124, 11, 221, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 179 x 124 x 11 x 221 x 3 = 10683778248
Therefore, the lowest common multiple of 358,744,726,442,198 is 10683778248.
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.
358 x 744 x 726 x 442 x 198 = 16923104744832
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.
358 : 1, 2, 179, 358
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
442 : 1, 2, 13, 17, 26, 34, 221, 442
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,744,726,442,198, is 2.
Now, the common factors can be found like this.
358:2x 179
744:2x 2x 2x 3x 31
726:2x 3x 11x 11
442:2x 13x 17
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 2x 2x 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 16923104744832/(2x792)
LCM = 16923104744832/1584
LCM = 10683778248
Thus, we can understand that the LCM of 358,744,726,442,198 is 10683778248.
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FAQs on LCM of 358, 744, 726, 442, 198
1. What is the LCM of 358, 744, 726, 442, 198?
Answer: LCM of 358, 744, 726, 442, 198 is 10683778248.
2. How to calculate the LCM of 358, 744, 726, 442, 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 358, 744, 726, 442, 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}.