LCM of 896, 418, 341, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 418, 341, 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 896, 418, 341, 119. So, keep reading to learn more.
Given numbers are 896,418,341,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,418,341,119 is 98688128.
Find LCM of 896,418,341,119 with Prime Factorization
| 2 | 896, 418, 341, 119 |
| 7 | 448, 209, 341, 119 |
| 11 | 64, 209, 341, 17 |
| 64, 19, 31, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 64 x 19 x 31 x 17 = 98688128
Therefore, the lowest common multiple of 896,418,341,119 is 98688128.
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.
896 x 418 x 341 x 119 = 15197971712
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
418 : 1, 2, 11, 19, 22, 38, 209, 418
341 : 1, 11, 31, 341
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,418,341,119, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
418:2x 11x 19
341:11x 31
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.
2x 7x 11 = 154
Therefore, the value for common factors is 154.
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 = 15197971712/(1x154)
LCM = 15197971712/154
LCM = 98688128
Thus, we can understand that the LCM of 896,418,341,119 is 98688128.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 896, 418, 341, 119
1. What is the LCM of 896, 418, 341, 119?
Answer: LCM of 896, 418, 341, 119 is 98688128.
2. How to calculate the LCM of 896, 418, 341, 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 896, 418, 341, 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}.