Find the LCM of 180, 521, 521, 756 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 180, 521, 521, 756. So, keep reading to learn more.
Given numbers are 180,521,521,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,521,521,756 is 1969380.
Find LCM of 180,521,521,756 with Prime Factorization
2 | 180, 521, 521, 756 |
2 | 90, 521, 521, 378 |
3 | 45, 521, 521, 189 |
3 | 15, 521, 521, 63 |
521 | 5, 521, 521, 21 |
5, 1, 1, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 521 x 5 x 1 x 1 x 21 = 1969380
Therefore, the lowest common multiple of 180,521,521,756 is 1969380.
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.
180 x 521 x 521 x 756 = 36937691280
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
521 : 1, 521
521 : 1, 521
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,521,521,756, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
521:521
521:521
756:2x 2x 3x 3x 3x 7
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 3x 521 = 18756
Therefore, the value for common factors is 18756.
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 = 36937691280/(1x18756)
LCM = 36937691280/18756
LCM = 1969380
Thus, we can understand that the LCM of 180,521,521,756 is 1969380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 180, 521, 521, 756?
Answer: LCM of 180, 521, 521, 756 is 1969380.
2. How to calculate the LCM of 180, 521, 521, 756?
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 180, 521, 521, 756.
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}.