LCM of 515, 112, 528, 694, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 112, 528, 694, 678 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 515, 112, 528, 694, 678. So, keep reading to learn more.
Given numbers are 515,112,528,694,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,112,528,694,678 is 74635785840.
Find LCM of 515,112,528,694,678 with Prime Factorization
| 2 | 515, 112, 528, 694, 678 |
| 2 | 515, 56, 264, 347, 339 |
| 2 | 515, 28, 132, 347, 339 |
| 2 | 515, 14, 66, 347, 339 |
| 3 | 515, 7, 33, 347, 339 |
| 515, 7, 11, 347, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 515 x 7 x 11 x 347 x 113 = 74635785840
Therefore, the lowest common multiple of 515,112,528,694,678 is 74635785840.
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.
515 x 112 x 528 x 694 x 678 = 14330070881280
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.
515 : 1, 5, 103, 515
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
694 : 1, 2, 347, 694
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,112,528,694,678, is 1.
Now, the common factors can be found like this.
515:5x 103
112:2x 2x 2x 2x 7
528:2x 2x 2x 2x 3x 11
694:2x 347
678:2x 3x 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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 14330070881280/(1x192)
LCM = 14330070881280/192
LCM = 74635785840
Thus, we can understand that the LCM of 515,112,528,694,678 is 74635785840.
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FAQs on LCM of 515, 112, 528, 694, 678
1. What is the LCM of 515, 112, 528, 694, 678?
Answer: LCM of 515, 112, 528, 694, 678 is 74635785840.
2. How to calculate the LCM of 515, 112, 528, 694, 678?
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 515, 112, 528, 694, 678.
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}.