LCM of 397, 238, 427, 167, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 238, 427, 167, 334 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 397, 238, 427, 167, 334. So, keep reading to learn more.
Given numbers are 397,238,427,167,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,238,427,167,334 is 962528882.
Find LCM of 397,238,427,167,334 with Prime Factorization
| 2 | 397, 238, 427, 167, 334 |
| 7 | 397, 119, 427, 167, 167 |
| 167 | 397, 17, 61, 167, 167 |
| 397, 17, 61, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 167 x 397 x 17 x 61 x 1 x 1 = 962528882
Therefore, the lowest common multiple of 397,238,427,167,334 is 962528882.
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.
397 x 238 x 427 x 167 x 334 = 2250392526116
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.
397 : 1, 397
238 : 1, 2, 7, 14, 17, 34, 119, 238
427 : 1, 7, 61, 427
167 : 1, 167
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,238,427,167,334, is 1.
Now, the common factors can be found like this.
397:397
238:2x 7x 17
427:7x 61
167:167
334:2x 167
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 167 = 2338
Therefore, the value for common factors is 2338.
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 = 2250392526116/(1x2338)
LCM = 2250392526116/2338
LCM = 962528882
Thus, we can understand that the LCM of 397,238,427,167,334 is 962528882.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 397, 238, 427, 167, 334
1. What is the LCM of 397, 238, 427, 167, 334?
Answer: LCM of 397, 238, 427, 167, 334 is 962528882.
2. How to calculate the LCM of 397, 238, 427, 167, 334?
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 397, 238, 427, 167, 334.
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}.