LCM of 708, 559, 546, 904, 919
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 708, 559, 546, 904, 919 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 708, 559, 546, 904, 919. So, keep reading to learn more.
Given numbers are 708,559,546,904,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,559,546,904,919 is 575396288376.
Find LCM of 708,559,546,904,919 with Prime Factorization
| 2 | 708, 559, 546, 904, 919 |
| 2 | 354, 559, 273, 452, 919 |
| 3 | 177, 559, 273, 226, 919 |
| 13 | 59, 559, 91, 226, 919 |
| 59, 43, 7, 226, 919 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 59 x 43 x 7 x 226 x 919 = 575396288376
Therefore, the lowest common multiple of 708,559,546,904,919 is 575396288376.
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.
708 x 559 x 546 x 904 x 919 = 179523641973312
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.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
559 : 1, 13, 43, 559
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
904 : 1, 2, 4, 8, 113, 226, 452, 904
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,559,546,904,919, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
559:13x 43
546:2x 3x 7x 13
904:2x 2x 2x 113
919:919
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 179523641973312/(1x312)
LCM = 179523641973312/312
LCM = 575396288376
Thus, we can understand that the LCM of 708,559,546,904,919 is 575396288376.
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FAQs on LCM of 708, 559, 546, 904, 919
1. What is the LCM of 708, 559, 546, 904, 919?
Answer: LCM of 708, 559, 546, 904, 919 is 575396288376.
2. How to calculate the LCM of 708, 559, 546, 904, 919?
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 708, 559, 546, 904, 919.
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}.