LCM of 628, 510, 667, 969, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 510, 667, 969, 220 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 628, 510, 667, 969, 220. So, keep reading to learn more.
Given numbers are 628,510,667,969,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,510,667,969,220 is 22323996420.
Find LCM of 628,510,667,969,220 with Prime Factorization
| 2 | 628, 510, 667, 969, 220 |
| 2 | 314, 255, 667, 969, 110 |
| 3 | 157, 255, 667, 969, 55 |
| 5 | 157, 85, 667, 323, 55 |
| 17 | 157, 17, 667, 323, 11 |
| 157, 1, 667, 19, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 157 x 1 x 667 x 19 x 11 = 22323996420
Therefore, the lowest common multiple of 628,510,667,969,220 is 22323996420.
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.
628 x 510 x 667 x 969 x 220 = 45540952696800
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.
628 : 1, 2, 4, 157, 314, 628
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
667 : 1, 23, 29, 667
969 : 1, 3, 17, 19, 51, 57, 323, 969
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,510,667,969,220, is 1.
Now, the common factors can be found like this.
628:2x 2x 157
510:2x 3x 5x 17
667:23x 29
969:3x 17x 19
220:2x 2x 5x 11
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 3x 5x 17 = 2040
Therefore, the value for common factors is 2040.
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 = 45540952696800/(1x2040)
LCM = 45540952696800/2040
LCM = 22323996420
Thus, we can understand that the LCM of 628,510,667,969,220 is 22323996420.
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FAQs on LCM of 628, 510, 667, 969, 220
1. What is the LCM of 628, 510, 667, 969, 220?
Answer: LCM of 628, 510, 667, 969, 220 is 22323996420.
2. How to calculate the LCM of 628, 510, 667, 969, 220?
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 628, 510, 667, 969, 220.
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}.