LCM of 669, 886, 299, 690, 834
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 886, 299, 690, 834 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, 886, 299, 690, 834. So, keep reading to learn more.
Given numbers are 669,886,299,690,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,886,299,690,834 is 123173088870.
Find LCM of 669,886,299,690,834 with Prime Factorization
| 2 | 669, 886, 299, 690, 834 |
| 3 | 669, 443, 299, 345, 417 |
| 23 | 223, 443, 299, 115, 139 |
| 223, 443, 13, 5, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 223 x 443 x 13 x 5 x 139 = 123173088870
Therefore, the lowest common multiple of 669,886,299,690,834 is 123173088870.
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 886 x 299 x 690 x 834 = 101987317584360
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
886 : 1, 2, 443, 886
299 : 1, 13, 23, 299
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
834 : 1, 2, 3, 6, 139, 278, 417, 834
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,886,299,690,834, is 1.
Now, the common factors can be found like this.
669:3x 223
886:2x 443
299:13x 23
690:2x 3x 5x 23
834:2x 3x 139
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 23 = 828
Therefore, the value for common factors is 828.
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 = 101987317584360/(1x828)
LCM = 101987317584360/828
LCM = 123173088870
Thus, we can understand that the LCM of 669,886,299,690,834 is 123173088870.
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FAQs on LCM of 669, 886, 299, 690, 834
1. What is the LCM of 669, 886, 299, 690, 834?
Answer: LCM of 669, 886, 299, 690, 834 is 123173088870.
2. How to calculate the LCM of 669, 886, 299, 690, 834?
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, 886, 299, 690, 834.
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}.