Find the LCM of 904, 704, 473, 668, 278 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 904, 704, 473, 668, 278. So, keep reading to learn more.
Given numbers are 904,704,473,668,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,704,473,668,278 is 79405544768.
Find LCM of 904,704,473,668,278 with Prime Factorization
2 | 904, 704, 473, 668, 278 |
2 | 452, 352, 473, 334, 139 |
2 | 226, 176, 473, 167, 139 |
11 | 113, 88, 473, 167, 139 |
113, 8, 43, 167, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 113 x 8 x 43 x 167 x 139 = 79405544768
Therefore, the lowest common multiple of 904,704,473,668,278 is 79405544768.
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.
904 x 704 x 473 x 668 x 278 = 55901503516672
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
473 : 1, 11, 43, 473
668 : 1, 2, 4, 167, 334, 668
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,704,473,668,278, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
704:2x 2x 2x 2x 2x 2x 11
473:11x 43
668:2x 2x 167
278:2x 139
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 2x 11 = 704
Therefore, the value for common factors is 704.
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 = 55901503516672/(1x704)
LCM = 55901503516672/704
LCM = 79405544768
Thus, we can understand that the LCM of 904,704,473,668,278 is 79405544768.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 904, 704, 473, 668, 278?
Answer: LCM of 904, 704, 473, 668, 278 is 79405544768.
2. How to calculate the LCM of 904, 704, 473, 668, 278?
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 904, 704, 473, 668, 278.
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}.