LCM of 758, 510, 592, 192, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 758, 510, 592, 192, 658 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 758, 510, 592, 192, 658. So, keep reading to learn more.
Given numbers are 758,510,592,192,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,510,592,192,658 is 75293413440.
Find LCM of 758,510,592,192,658 with Prime Factorization
| 2 | 758, 510, 592, 192, 658 |
| 2 | 379, 255, 296, 96, 329 |
| 2 | 379, 255, 148, 48, 329 |
| 2 | 379, 255, 74, 24, 329 |
| 3 | 379, 255, 37, 12, 329 |
| 379, 85, 37, 4, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 379 x 85 x 37 x 4 x 329 = 75293413440
Therefore, the lowest common multiple of 758,510,592,192,658 is 75293413440.
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.
758 x 510 x 592 x 192 x 658 = 28912670760960
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.
758 : 1, 2, 379, 758
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
658 : 1, 2, 7, 14, 47, 94, 329, 658
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,510,592,192,658, is 2.
Now, the common factors can be found like this.
758:2x 379
510:2x 3x 5x 17
592:2x 2x 2x 2x 37
192:2x 2x 2x 2x 2x 2x 3
658:2x 7x 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 = 28912670760960/(2x192)
LCM = 28912670760960/384
LCM = 75293413440
Thus, we can understand that the LCM of 758,510,592,192,658 is 75293413440.
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FAQs on LCM of 758, 510, 592, 192, 658
1. What is the LCM of 758, 510, 592, 192, 658?
Answer: LCM of 758, 510, 592, 192, 658 is 75293413440.
2. How to calculate the LCM of 758, 510, 592, 192, 658?
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 758, 510, 592, 192, 658.
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}.