LCM of 343, 878, 704, 763, 436
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 878, 704, 763, 436 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 343, 878, 704, 763, 436. So, keep reading to learn more.
Given numbers are 343,878,704,763,436
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,878,704,763,436 is 11554676672.
Find LCM of 343,878,704,763,436 with Prime Factorization
| 2 | 343, 878, 704, 763, 436 |
| 2 | 343, 439, 352, 763, 218 |
| 7 | 343, 439, 176, 763, 109 |
| 109 | 49, 439, 176, 109, 109 |
| 49, 439, 176, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 109 x 49 x 439 x 176 x 1 x 1 = 11554676672
Therefore, the lowest common multiple of 343,878,704,763,436 is 11554676672.
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.
343 x 878 x 704 x 763 x 436 = 70529746405888
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.
343 : 1, 7, 49, 343
878 : 1, 2, 439, 878
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
763 : 1, 7, 109, 763
436 : 1, 2, 4, 109, 218, 436
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,878,704,763,436, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
878:2x 439
704:2x 2x 2x 2x 2x 2x 11
763:7x 109
436:2x 2x 109
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 7x 109 = 6104
Therefore, the value for common factors is 6104.
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 = 70529746405888/(1x6104)
LCM = 70529746405888/6104
LCM = 11554676672
Thus, we can understand that the LCM of 343,878,704,763,436 is 11554676672.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 343, 878, 704, 763, 436
1. What is the LCM of 343, 878, 704, 763, 436?
Answer: LCM of 343, 878, 704, 763, 436 is 11554676672.
2. How to calculate the LCM of 343, 878, 704, 763, 436?
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 343, 878, 704, 763, 436.
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}.