Find the LCM of 980, 412, 553, 725, 269 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 980, 412, 553, 725, 269. So, keep reading to learn more.
Given numbers are 980,412,553,725,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,412,553,725,269 is 311036011300.
Find LCM of 980,412,553,725,269 with Prime Factorization
2 | 980, 412, 553, 725, 269 |
2 | 490, 206, 553, 725, 269 |
5 | 245, 103, 553, 725, 269 |
7 | 49, 103, 553, 145, 269 |
7, 103, 79, 145, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 7 x 103 x 79 x 145 x 269 = 311036011300
Therefore, the lowest common multiple of 980,412,553,725,269 is 311036011300.
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.
980 x 412 x 553 x 725 x 269 = 43545041582000
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.
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
412 : 1, 2, 4, 103, 206, 412
553 : 1, 7, 79, 553
725 : 1, 5, 25, 29, 145, 725
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,412,553,725,269, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
412:2x 2x 103
553:7x 79
725:5x 5x 29
269:269
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 5x 7 = 140
Therefore, the value for common factors is 140.
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 = 43545041582000/(1x140)
LCM = 43545041582000/140
LCM = 311036011300
Thus, we can understand that the LCM of 980,412,553,725,269 is 311036011300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 980, 412, 553, 725, 269?
Answer: LCM of 980, 412, 553, 725, 269 is 311036011300.
2. How to calculate the LCM of 980, 412, 553, 725, 269?
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 980, 412, 553, 725, 269.
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}.