Find the LCM of 526, 980, 177, 527, 973 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 526, 980, 177, 527, 973. So, keep reading to learn more.
Given numbers are 526,980,177,527,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 526,980,177,527,973 is 3341800394940.
Find LCM of 526,980,177,527,973 with Prime Factorization
2 | 526, 980, 177, 527, 973 |
7 | 263, 490, 177, 527, 973 |
263, 70, 177, 527, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 263 x 70 x 177 x 527 x 139 = 3341800394940
Therefore, the lowest common multiple of 526,980,177,527,973 is 3341800394940.
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.
526 x 980 x 177 x 527 x 973 = 46785205529160
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.
526 : 1, 2, 263, 526
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
177 : 1, 3, 59, 177
527 : 1, 17, 31, 527
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,980,177,527,973, is 1.
Now, the common factors can be found like this.
526:2x 263
980:2x 2x 5x 7x 7
177:3x 59
527:17x 31
973:7x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 46785205529160/(1x14)
LCM = 46785205529160/14
LCM = 3341800394940
Thus, we can understand that the LCM of 526,980,177,527,973 is 3341800394940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 526, 980, 177, 527, 973?
Answer: LCM of 526, 980, 177, 527, 973 is 3341800394940.
2. How to calculate the LCM of 526, 980, 177, 527, 973?
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 526, 980, 177, 527, 973.
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}.