LCM of 268, 948, 667, 174, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 948, 667, 174, 348 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 268, 948, 667, 174, 348. So, keep reading to learn more.
Given numbers are 268,948,667,174,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,948,667,174,348 is 42365172.
Find LCM of 268,948,667,174,348 with Prime Factorization
| 2 | 268, 948, 667, 174, 348 |
| 2 | 134, 474, 667, 87, 174 |
| 3 | 67, 237, 667, 87, 87 |
| 29 | 67, 79, 667, 29, 29 |
| 67, 79, 23, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 67 x 79 x 23 x 1 x 1 = 42365172
Therefore, the lowest common multiple of 268,948,667,174,348 is 42365172.
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.
268 x 948 x 667 x 174 x 348 = 10261183579776
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.
268 : 1, 2, 4, 67, 134, 268
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
667 : 1, 23, 29, 667
174 : 1, 2, 3, 6, 29, 58, 87, 174
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,948,667,174,348, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
948:2x 2x 3x 79
667:23x 29
174:2x 3x 29
348:2x 2x 3x 29
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 2x 3x 3x 29x 29 = 242208
Therefore, the value for common factors is 242208.
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 = 10261183579776/(1x242208)
LCM = 10261183579776/242208
LCM = 42365172
Thus, we can understand that the LCM of 268,948,667,174,348 is 42365172.
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FAQs on LCM of 268, 948, 667, 174, 348
1. What is the LCM of 268, 948, 667, 174, 348?
Answer: LCM of 268, 948, 667, 174, 348 is 42365172.
2. How to calculate the LCM of 268, 948, 667, 174, 348?
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 268, 948, 667, 174, 348.
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}.