LCM of 749, 296, 656, 667, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 296, 656, 667, 154 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 749, 296, 656, 667, 154. So, keep reading to learn more.
Given numbers are 749,296,656,667,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,296,656,667,154 is 133384664336.
Find LCM of 749,296,656,667,154 with Prime Factorization
| 2 | 749, 296, 656, 667, 154 |
| 2 | 749, 148, 328, 667, 77 |
| 2 | 749, 74, 164, 667, 77 |
| 7 | 749, 37, 82, 667, 77 |
| 107, 37, 82, 667, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 107 x 37 x 82 x 667 x 11 = 133384664336
Therefore, the lowest common multiple of 749,296,656,667,154 is 133384664336.
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.
749 x 296 x 656 x 667 x 154 = 14939082405632
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.
749 : 1, 7, 107, 749
296 : 1, 2, 4, 8, 37, 74, 148, 296
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
667 : 1, 23, 29, 667
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,296,656,667,154, is 1.
Now, the common factors can be found like this.
749:7x 107
296:2x 2x 2x 37
656:2x 2x 2x 2x 41
667:23x 29
154:2x 7x 11
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 7 = 112
Therefore, the value for common factors is 112.
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 = 14939082405632/(1x112)
LCM = 14939082405632/112
LCM = 133384664336
Thus, we can understand that the LCM of 749,296,656,667,154 is 133384664336.
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FAQs on LCM of 749, 296, 656, 667, 154
1. What is the LCM of 749, 296, 656, 667, 154?
Answer: LCM of 749, 296, 656, 667, 154 is 133384664336.
2. How to calculate the LCM of 749, 296, 656, 667, 154?
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 749, 296, 656, 667, 154.
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}.