LCM of 532, 551, 378, 870, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 532, 551, 378, 870, 904 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 532, 551, 378, 870, 904. So, keep reading to learn more.
Given numbers are 532,551,378,870,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,551,378,870,904 is 470708280.
Find LCM of 532,551,378,870,904 with Prime Factorization
| 2 | 532, 551, 378, 870, 904 |
| 2 | 266, 551, 189, 435, 452 |
| 3 | 133, 551, 189, 435, 226 |
| 7 | 133, 551, 63, 145, 226 |
| 19 | 19, 551, 9, 145, 226 |
| 29 | 1, 29, 9, 145, 226 |
| 1, 1, 9, 5, 226 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 29 x 1 x 1 x 9 x 5 x 226 = 470708280
Therefore, the lowest common multiple of 532,551,378,870,904 is 470708280.
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.
532 x 551 x 378 x 870 x 904 = 87145048126080
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
551 : 1, 19, 29, 551
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,551,378,870,904, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
551:19x 29
378:2x 3x 3x 3x 7
870:2x 3x 5x 29
904:2x 2x 2x 113
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 3x 7x 19x 29 = 185136
Therefore, the value for common factors is 185136.
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 = 87145048126080/(1x185136)
LCM = 87145048126080/185136
LCM = 470708280
Thus, we can understand that the LCM of 532,551,378,870,904 is 470708280.
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FAQs on LCM of 532, 551, 378, 870, 904
1. What is the LCM of 532, 551, 378, 870, 904?
Answer: LCM of 532, 551, 378, 870, 904 is 470708280.
2. How to calculate the LCM of 532, 551, 378, 870, 904?
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 532, 551, 378, 870, 904.
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}.