LCM of 561, 506, 212, 980, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 506, 212, 980, 644 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 561, 506, 212, 980, 644. So, keep reading to learn more.
Given numbers are 561,506,212,980,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,506,212,980,644 is 670181820.
Find LCM of 561,506,212,980,644 with Prime Factorization
| 2 | 561, 506, 212, 980, 644 |
| 2 | 561, 253, 106, 490, 322 |
| 7 | 561, 253, 53, 245, 161 |
| 11 | 561, 253, 53, 35, 23 |
| 23 | 51, 23, 53, 35, 23 |
| 51, 1, 53, 35, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 23 x 51 x 1 x 53 x 35 x 1 = 670181820
Therefore, the lowest common multiple of 561,506,212,980,644 is 670181820.
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.
561 x 506 x 212 x 980 x 644 = 37980544103040
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
506 : 1, 2, 11, 22, 23, 46, 253, 506
212 : 1, 2, 4, 53, 106, 212
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,506,212,980,644, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
506:2x 11x 23
212:2x 2x 53
980:2x 2x 5x 7x 7
644:2x 2x 7x 23
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 2x 2x 7x 11x 23 = 56672
Therefore, the value for common factors is 56672.
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 = 37980544103040/(1x56672)
LCM = 37980544103040/56672
LCM = 670181820
Thus, we can understand that the LCM of 561,506,212,980,644 is 670181820.
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FAQs on LCM of 561, 506, 212, 980, 644
1. What is the LCM of 561, 506, 212, 980, 644?
Answer: LCM of 561, 506, 212, 980, 644 is 670181820.
2. How to calculate the LCM of 561, 506, 212, 980, 644?
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 561, 506, 212, 980, 644.
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}.