LCM of 670, 988, 802, 338, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 670, 988, 802, 338, 228 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 670, 988, 802, 338, 228. So, keep reading to learn more.
Given numbers are 670,988,802,338,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,988,802,338,228 is 5176196220.
Find LCM of 670,988,802,338,228 with Prime Factorization
| 2 | 670, 988, 802, 338, 228 |
| 2 | 335, 494, 401, 169, 114 |
| 13 | 335, 247, 401, 169, 57 |
| 19 | 335, 19, 401, 13, 57 |
| 335, 1, 401, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 335 x 1 x 401 x 13 x 3 = 5176196220
Therefore, the lowest common multiple of 670,988,802,338,228 is 5176196220.
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.
670 x 988 x 802 x 338 x 228 = 40912654922880
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.
670 : 1, 2, 5, 10, 67, 134, 335, 670
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
802 : 1, 2, 401, 802
338 : 1, 2, 13, 26, 169, 338
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,988,802,338,228, is 2.
Now, the common factors can be found like this.
670:2x 5x 67
988:2x 2x 13x 19
802:2x 401
338:2x 13x 13
228:2x 2x 3x 19
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 13x 19 = 3952
Therefore, the value for common factors is 3952.
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 = 40912654922880/(2x3952)
LCM = 40912654922880/7904
LCM = 5176196220
Thus, we can understand that the LCM of 670,988,802,338,228 is 5176196220.
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FAQs on LCM of 670, 988, 802, 338, 228
1. What is the LCM of 670, 988, 802, 338, 228?
Answer: LCM of 670, 988, 802, 338, 228 is 5176196220.
2. How to calculate the LCM of 670, 988, 802, 338, 228?
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 670, 988, 802, 338, 228.
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}.