LCM of 364, 278, 658, 998, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 278, 658, 998, 144 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 364, 278, 658, 998, 144. So, keep reading to learn more.
Given numbers are 364,278,658,998,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,278,658,998,144 is 42718607568.
Find LCM of 364,278,658,998,144 with Prime Factorization
| 2 | 364, 278, 658, 998, 144 |
| 2 | 182, 139, 329, 499, 72 |
| 7 | 91, 139, 329, 499, 36 |
| 13, 139, 47, 499, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 139 x 47 x 499 x 36 = 42718607568
Therefore, the lowest common multiple of 364,278,658,998,144 is 42718607568.
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.
364 x 278 x 658 x 998 x 144 = 9568968095232
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
278 : 1, 2, 139, 278
658 : 1, 2, 7, 14, 47, 94, 329, 658
998 : 1, 2, 499, 998
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,278,658,998,144, is 2.
Now, the common factors can be found like this.
364:2x 2x 7x 13
278:2x 139
658:2x 7x 47
998:2x 499
144:2x 2x 2x 2x 3x 3
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 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 9568968095232/(2x112)
LCM = 9568968095232/224
LCM = 42718607568
Thus, we can understand that the LCM of 364,278,658,998,144 is 42718607568.
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FAQs on LCM of 364, 278, 658, 998, 144
1. What is the LCM of 364, 278, 658, 998, 144?
Answer: LCM of 364, 278, 658, 998, 144 is 42718607568.
2. How to calculate the LCM of 364, 278, 658, 998, 144?
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 364, 278, 658, 998, 144.
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}.