LCM of 669, 171, 990, 378, 804
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 171, 990, 378, 804 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 669, 171, 990, 378, 804. So, keep reading to learn more.
Given numbers are 669,171,990,378,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,171,990,378,804 is 11803688820.
Find LCM of 669,171,990,378,804 with Prime Factorization
| 2 | 669, 171, 990, 378, 804 |
| 3 | 669, 171, 495, 189, 402 |
| 3 | 223, 57, 165, 63, 134 |
| 223, 19, 55, 21, 134 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 223 x 19 x 55 x 21 x 134 = 11803688820
Therefore, the lowest common multiple of 669,171,990,378,804 is 11803688820.
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.
669 x 171 x 990 x 378 x 804 = 34419556599120
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.
669 : 1, 3, 223, 669
171 : 1, 3, 9, 19, 57, 171
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,171,990,378,804, is 3.
Now, the common factors can be found like this.
669:3x 223
171:3x 3x 19
990:2x 3x 3x 5x 11
378:2x 3x 3x 3x 7
804:2x 2x 3x 67
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 3x 3 = 972
Therefore, the value for common factors is 972.
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 = 34419556599120/(3x972)
LCM = 34419556599120/2916
LCM = 11803688820
Thus, we can understand that the LCM of 669,171,990,378,804 is 11803688820.
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FAQs on LCM of 669, 171, 990, 378, 804
1. What is the LCM of 669, 171, 990, 378, 804?
Answer: LCM of 669, 171, 990, 378, 804 is 11803688820.
2. How to calculate the LCM of 669, 171, 990, 378, 804?
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 669, 171, 990, 378, 804.
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}.