LCM of 348, 523, 369, 560, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 523, 369, 560, 752 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 348, 523, 369, 560, 752. So, keep reading to learn more.
Given numbers are 348,523,369,560,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,523,369,560,752 is 147303117360.
Find LCM of 348,523,369,560,752 with Prime Factorization
| 2 | 348, 523, 369, 560, 752 |
| 2 | 174, 523, 369, 280, 376 |
| 2 | 87, 523, 369, 140, 188 |
| 2 | 87, 523, 369, 70, 94 |
| 3 | 87, 523, 369, 35, 47 |
| 29, 523, 123, 35, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 29 x 523 x 123 x 35 x 47 = 147303117360
Therefore, the lowest common multiple of 348,523,369,560,752 is 147303117360.
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.
348 x 523 x 369 x 560 x 752 = 28282198533120
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
523 : 1, 523
369 : 1, 3, 9, 41, 123, 369
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,523,369,560,752, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
523:523
369:3x 3x 41
560:2x 2x 2x 2x 5x 7
752:2x 2x 2x 2x 47
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 = 28282198533120/(1x192)
LCM = 28282198533120/192
LCM = 147303117360
Thus, we can understand that the LCM of 348,523,369,560,752 is 147303117360.
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FAQs on LCM of 348, 523, 369, 560, 752
1. What is the LCM of 348, 523, 369, 560, 752?
Answer: LCM of 348, 523, 369, 560, 752 is 147303117360.
2. How to calculate the LCM of 348, 523, 369, 560, 752?
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 348, 523, 369, 560, 752.
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}.