LCM of 834, 393, 973, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 393, 973, 119 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, 393, 973, 119. So, keep reading to learn more.
Given numbers are 834,393,973,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,393,973,119 is 13001226.
Find LCM of 834,393,973,119 with Prime Factorization
| 3 | 834, 393, 973, 119 |
| 7 | 278, 131, 973, 119 |
| 139 | 278, 131, 139, 17 |
| 2, 131, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 139 x 2 x 131 x 1 x 17 = 13001226
Therefore, the lowest common multiple of 834,393,973,119 is 13001226.
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 393 x 973 x 119 = 37950578694
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
393 : 1, 3, 131, 393
973 : 1, 7, 139, 973
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,393,973,119, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
393:3x 131
973:7x 139
119:7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 139 = 2919
Therefore, the value for common factors is 2919.
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 = 37950578694/(1x2919)
LCM = 37950578694/2919
LCM = 13001226
Thus, we can understand that the LCM of 834,393,973,119 is 13001226.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 834, 393, 973, 119
1. What is the LCM of 834, 393, 973, 119?
Answer: LCM of 834, 393, 973, 119 is 13001226.
2. How to calculate the LCM of 834, 393, 973, 119?
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, 393, 973, 119.
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}.