LCM of 232, 266, 429, 351, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 266, 429, 351, 639 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 232, 266, 429, 351, 639. So, keep reading to learn more.
Given numbers are 232,266,429,351,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,266,429,351,639 is 8458586136.
Find LCM of 232,266,429,351,639 with Prime Factorization
| 2 | 232, 266, 429, 351, 639 |
| 3 | 116, 133, 429, 351, 639 |
| 3 | 116, 133, 143, 117, 213 |
| 13 | 116, 133, 143, 39, 71 |
| 116, 133, 11, 3, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 116 x 133 x 11 x 3 x 71 = 8458586136
Therefore, the lowest common multiple of 232,266,429,351,639 is 8458586136.
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.
232 x 266 x 429 x 351 x 639 = 5937927467472
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
266 : 1, 2, 7, 14, 19, 38, 133, 266
429 : 1, 3, 11, 13, 33, 39, 143, 429
351 : 1, 3, 9, 13, 27, 39, 117, 351
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,266,429,351,639, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
266:2x 7x 19
429:3x 11x 13
351:3x 3x 3x 13
639:3x 3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 13 = 702
Therefore, the value for common factors is 702.
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 = 5937927467472/(1x702)
LCM = 5937927467472/702
LCM = 8458586136
Thus, we can understand that the LCM of 232,266,429,351,639 is 8458586136.
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FAQs on LCM of 232, 266, 429, 351, 639
1. What is the LCM of 232, 266, 429, 351, 639?
Answer: LCM of 232, 266, 429, 351, 639 is 8458586136.
2. How to calculate the LCM of 232, 266, 429, 351, 639?
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 232, 266, 429, 351, 639.
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}.