Find the LCM of 298, 352, 298, 292, 592 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, 352, 298, 292, 592. So, keep reading to learn more.
Given numbers are 298,352,298,292,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,352,298,292,592 is 141662048.
Find LCM of 298,352,298,292,592 with Prime Factorization
2 | 298, 352, 298, 292, 592 |
2 | 149, 176, 149, 146, 296 |
2 | 149, 88, 149, 73, 148 |
2 | 149, 44, 149, 73, 74 |
149 | 149, 22, 149, 73, 37 |
1, 22, 1, 73, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 149 x 1 x 22 x 1 x 73 x 37 = 141662048
Therefore, the lowest common multiple of 298,352,298,292,592 is 141662048.
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 352 x 298 x 292 x 592 = 5403557158912
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
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
298 : 1, 2, 149, 298
292 : 1, 2, 4, 73, 146, 292
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,352,298,292,592, is 2.
Now, the common factors can be found like this.
298:2x 149
352:2x 2x 2x 2x 2x 11
298:2x 149
292:2x 2x 73
592:2x 2x 2x 2x 37
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 2x 2x 149 = 19072
Therefore, the value for common factors is 19072.
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 = 5403557158912/(2x19072)
LCM = 5403557158912/38144
LCM = 141662048
Thus, we can understand that the LCM of 298,352,298,292,592 is 141662048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 298, 352, 298, 292, 592?
Answer: LCM of 298, 352, 298, 292, 592 is 141662048.
2. How to calculate the LCM of 298, 352, 298, 292, 592?
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, 352, 298, 292, 592.
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}.