LCM of 834, 669, 988, 715, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 669, 988, 715, 774 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 834, 669, 988, 715, 774. So, keep reading to learn more.
Given numbers are 834,669,988,715,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,669,988,715,774 is 651853891260.
Find LCM of 834,669,988,715,774 with Prime Factorization
| 2 | 834, 669, 988, 715, 774 |
| 3 | 417, 669, 494, 715, 387 |
| 13 | 139, 223, 494, 715, 129 |
| 139, 223, 38, 55, 129 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 139 x 223 x 38 x 55 x 129 = 651853891260
Therefore, the lowest common multiple of 834,669,988,715,774 is 651853891260.
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.
834 x 669 x 988 x 715 x 774 = 305067621109680
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
669 : 1, 3, 223, 669
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
715 : 1, 5, 11, 13, 55, 65, 143, 715
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,669,988,715,774, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
669:3x 223
988:2x 2x 13x 19
715:5x 11x 13
774:2x 3x 3x 43
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 13 = 468
Therefore, the value for common factors is 468.
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 = 305067621109680/(1x468)
LCM = 305067621109680/468
LCM = 651853891260
Thus, we can understand that the LCM of 834,669,988,715,774 is 651853891260.
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FAQs on LCM of 834, 669, 988, 715, 774
1. What is the LCM of 834, 669, 988, 715, 774?
Answer: LCM of 834, 669, 988, 715, 774 is 651853891260.
2. How to calculate the LCM of 834, 669, 988, 715, 774?
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 834, 669, 988, 715, 774.
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}.