Find the LCM of 980, 273, 948, 763 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, 273, 948, 763. So, keep reading to learn more.
Given numbers are 980,273,948,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,273,948,763 is 329112420.
Find LCM of 980,273,948,763 with Prime Factorization
2 | 980, 273, 948, 763 |
2 | 490, 273, 474, 763 |
3 | 245, 273, 237, 763 |
7 | 245, 91, 79, 763 |
35, 13, 79, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 35 x 13 x 79 x 109 = 329112420
Therefore, the lowest common multiple of 980,273,948,763 is 329112420.
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 273 x 948 x 763 = 193518102960
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
273 : 1, 3, 7, 13, 21, 39, 91, 273
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,273,948,763, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
273:3x 7x 13
948:2x 2x 3x 79
763:7x 109
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 3x 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 193518102960/(1x588)
LCM = 193518102960/588
LCM = 329112420
Thus, we can understand that the LCM of 980,273,948,763 is 329112420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 980, 273, 948, 763?
Answer: LCM of 980, 273, 948, 763 is 329112420.
2. How to calculate the LCM of 980, 273, 948, 763?
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, 273, 948, 763.
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}.