Find the LCM of 139, 726, 254, 414, 298 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 139, 726, 254, 414, 298. So, keep reading to learn more.
Given numbers are 139,726,254,414,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,726,254,414,298 is 131762097918.
Find LCM of 139,726,254,414,298 with Prime Factorization
2 | 139, 726, 254, 414, 298 |
3 | 139, 363, 127, 207, 149 |
139, 121, 127, 69, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 121 x 127 x 69 x 149 = 131762097918
Therefore, the lowest common multiple of 139,726,254,414,298 is 131762097918.
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.
139 x 726 x 254 x 414 x 298 = 3162290350032
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.
139 : 1, 139
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
254 : 1, 2, 127, 254
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,726,254,414,298, is 1.
Now, the common factors can be found like this.
139:139
726:2x 3x 11x 11
254:2x 127
414:2x 3x 3x 23
298:2x 149
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 3 = 24
Therefore, the value for common factors is 24.
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 = 3162290350032/(1x24)
LCM = 3162290350032/24
LCM = 131762097918
Thus, we can understand that the LCM of 139,726,254,414,298 is 131762097918.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 139, 726, 254, 414, 298?
Answer: LCM of 139, 726, 254, 414, 298 is 131762097918.
2. How to calculate the LCM of 139, 726, 254, 414, 298?
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 139, 726, 254, 414, 298.
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}.