LCM of 298, 522, 136, 139, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 522, 136, 139, 952 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 298, 522, 136, 139, 952. So, keep reading to learn more.
Given numbers are 298,522,136,139,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,522,136,139,952 is 5146103592.
Find LCM of 298,522,136,139,952 with Prime Factorization
| 2 | 298, 522, 136, 139, 952 |
| 2 | 149, 261, 68, 139, 476 |
| 2 | 149, 261, 34, 139, 238 |
| 17 | 149, 261, 17, 139, 119 |
| 149, 261, 1, 139, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 149 x 261 x 1 x 139 x 7 = 5146103592
Therefore, the lowest common multiple of 298,522,136,139,952 is 5146103592.
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.
298 x 522 x 136 x 139 x 952 = 2799480354048
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.
298 : 1, 2, 149, 298
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
136 : 1, 2, 4, 8, 17, 34, 68, 136
139 : 1, 139
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,522,136,139,952, is 1.
Now, the common factors can be found like this.
298:2x 149
522:2x 3x 3x 29
136:2x 2x 2x 17
139:139
952:2x 2x 2x 7x 17
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 2x 17 = 544
Therefore, the value for common factors is 544.
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 = 2799480354048/(1x544)
LCM = 2799480354048/544
LCM = 5146103592
Thus, we can understand that the LCM of 298,522,136,139,952 is 5146103592.
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FAQs on LCM of 298, 522, 136, 139, 952
1. What is the LCM of 298, 522, 136, 139, 952?
Answer: LCM of 298, 522, 136, 139, 952 is 5146103592.
2. How to calculate the LCM of 298, 522, 136, 139, 952?
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 298, 522, 136, 139, 952.
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}.