LCM of 403, 670, 138, 822, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 670, 138, 822, 260 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 403, 670, 138, 822, 260. So, keep reading to learn more.
Given numbers are 403,670,138,822,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,670,138,822,260 is 5104809060.
Find LCM of 403,670,138,822,260 with Prime Factorization
| 2 | 403, 670, 138, 822, 260 |
| 3 | 403, 335, 69, 411, 130 |
| 5 | 403, 335, 23, 137, 130 |
| 13 | 403, 67, 23, 137, 26 |
| 31, 67, 23, 137, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 31 x 67 x 23 x 137 x 2 = 5104809060
Therefore, the lowest common multiple of 403,670,138,822,260 is 5104809060.
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.
403 x 670 x 138 x 822 x 260 = 7963502133600
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.
403 : 1, 13, 31, 403
670 : 1, 2, 5, 10, 67, 134, 335, 670
138 : 1, 2, 3, 6, 23, 46, 69, 138
822 : 1, 2, 3, 6, 137, 274, 411, 822
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,670,138,822,260, is 1.
Now, the common factors can be found like this.
403:13x 31
670:2x 5x 67
138:2x 3x 23
822:2x 3x 137
260:2x 2x 5x 13
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 13 = 1560
Therefore, the value for common factors is 1560.
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 = 7963502133600/(1x1560)
LCM = 7963502133600/1560
LCM = 5104809060
Thus, we can understand that the LCM of 403,670,138,822,260 is 5104809060.
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FAQs on LCM of 403, 670, 138, 822, 260
1. What is the LCM of 403, 670, 138, 822, 260?
Answer: LCM of 403, 670, 138, 822, 260 is 5104809060.
2. How to calculate the LCM of 403, 670, 138, 822, 260?
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 403, 670, 138, 822, 260.
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}.