LCM of 556, 207, 702, 390, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 207, 702, 390, 505 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 556, 207, 702, 390, 505. So, keep reading to learn more.
Given numbers are 556,207,702,390,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,207,702,390,505 is 2266736940.
Find LCM of 556,207,702,390,505 with Prime Factorization
| 2 | 556, 207, 702, 390, 505 |
| 3 | 278, 207, 351, 195, 505 |
| 3 | 278, 69, 117, 65, 505 |
| 5 | 278, 23, 39, 65, 505 |
| 13 | 278, 23, 39, 13, 101 |
| 278, 23, 3, 1, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 278 x 23 x 3 x 1 x 101 = 2266736940
Therefore, the lowest common multiple of 556,207,702,390,505 is 2266736940.
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.
556 x 207 x 702 x 390 x 505 = 15912493318800
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.
556 : 1, 2, 4, 139, 278, 556
207 : 1, 3, 9, 23, 69, 207
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,207,702,390,505, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
207:3x 3x 23
702:2x 3x 3x 3x 13
390:2x 3x 5x 13
505:5x 101
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 3x 5x 13 = 7020
Therefore, the value for common factors is 7020.
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 = 15912493318800/(1x7020)
LCM = 15912493318800/7020
LCM = 2266736940
Thus, we can understand that the LCM of 556,207,702,390,505 is 2266736940.
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FAQs on LCM of 556, 207, 702, 390, 505
1. What is the LCM of 556, 207, 702, 390, 505?
Answer: LCM of 556, 207, 702, 390, 505 is 2266736940.
2. How to calculate the LCM of 556, 207, 702, 390, 505?
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 556, 207, 702, 390, 505.
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}.