LCM of 834, 501, 648, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 501, 648, 408 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, 501, 648, 408. So, keep reading to learn more.
Given numbers are 834,501,648,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,501,648,408 is 255714408.
Find LCM of 834,501,648,408 with Prime Factorization
| 2 | 834, 501, 648, 408 |
| 2 | 417, 501, 324, 204 |
| 2 | 417, 501, 162, 102 |
| 3 | 417, 501, 81, 51 |
| 139, 167, 27, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 139 x 167 x 27 x 17 = 255714408
Therefore, the lowest common multiple of 834,501,648,408 is 255714408.
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 501 x 648 x 408 = 110468624256
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
501 : 1, 3, 167, 501
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,501,648,408, is 3.
Now, the common factors can be found like this.
834:2x 3x 139
501:3x 167
648:2x 2x 2x 3x 3x 3x 3
408:2x 2x 2x 3x 17
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 110468624256/(3x144)
LCM = 110468624256/432
LCM = 255714408
Thus, we can understand that the LCM of 834,501,648,408 is 255714408.
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FAQs on LCM of 834, 501, 648, 408
1. What is the LCM of 834, 501, 648, 408?
Answer: LCM of 834, 501, 648, 408 is 255714408.
2. How to calculate the LCM of 834, 501, 648, 408?
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, 501, 648, 408.
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}.