LCM of 406, 834, 772, 868, 121
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 406, 834, 772, 868, 121 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 406, 834, 772, 868, 121. So, keep reading to learn more.
Given numbers are 406,834,772,868,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 406,834,772,868,121 is 245129995572.
Find LCM of 406,834,772,868,121 with Prime Factorization
| 2 | 406, 834, 772, 868, 121 |
| 2 | 203, 417, 386, 434, 121 |
| 7 | 203, 417, 193, 217, 121 |
| 29, 417, 193, 31, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 29 x 417 x 193 x 31 x 121 = 245129995572
Therefore, the lowest common multiple of 406,834,772,868,121 is 245129995572.
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.
406 x 834 x 772 x 868 x 121 = 27454559504064
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.
406 : 1, 2, 7, 14, 29, 58, 203, 406
834 : 1, 2, 3, 6, 139, 278, 417, 834
772 : 1, 2, 4, 193, 386, 772
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,834,772,868,121, is 1.
Now, the common factors can be found like this.
406:2x 7x 29
834:2x 3x 139
772:2x 2x 193
868:2x 2x 7x 31
121:11x 11
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 7 = 112
Therefore, the value for common factors is 112.
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 = 27454559504064/(1x112)
LCM = 27454559504064/112
LCM = 245129995572
Thus, we can understand that the LCM of 406,834,772,868,121 is 245129995572.
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FAQs on LCM of 406, 834, 772, 868, 121
1. What is the LCM of 406, 834, 772, 868, 121?
Answer: LCM of 406, 834, 772, 868, 121 is 245129995572.
2. How to calculate the LCM of 406, 834, 772, 868, 121?
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 406, 834, 772, 868, 121.
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}.