LCM of 834, 257, 278, 695, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 257, 278, 695, 438 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, 257, 278, 695, 438. So, keep reading to learn more.
Given numbers are 834,257,278,695,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,257,278,695,438 is 78233370.
Find LCM of 834,257,278,695,438 with Prime Factorization
| 2 | 834, 257, 278, 695, 438 |
| 3 | 417, 257, 139, 695, 219 |
| 139 | 139, 257, 139, 695, 73 |
| 1, 257, 1, 5, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 1 x 257 x 1 x 5 x 73 = 78233370
Therefore, the lowest common multiple of 834,257,278,695,438 is 78233370.
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 257 x 278 x 695 x 438 = 18138563301240
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
257 : 1, 257
278 : 1, 2, 139, 278
695 : 1, 5, 139, 695
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,257,278,695,438, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
257:257
278:2x 139
695:5x 139
438:2x 3x 73
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 139x 139 = 231852
Therefore, the value for common factors is 231852.
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 = 18138563301240/(1x231852)
LCM = 18138563301240/231852
LCM = 78233370
Thus, we can understand that the LCM of 834,257,278,695,438 is 78233370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 834, 257, 278, 695, 438
1. What is the LCM of 834, 257, 278, 695, 438?
Answer: LCM of 834, 257, 278, 695, 438 is 78233370.
2. How to calculate the LCM of 834, 257, 278, 695, 438?
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, 257, 278, 695, 438.
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}.