LCM of 392, 605, 527, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 392, 605, 527, 847 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 392, 605, 527, 847. So, keep reading to learn more.
Given numbers are 392,605,527,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,605,527,847 is 124983320.
Find LCM of 392,605,527,847 with Prime Factorization
| 7 | 392, 605, 527, 847 |
| 11 | 56, 605, 527, 121 |
| 11 | 56, 55, 527, 11 |
| 56, 5, 527, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 11 x 56 x 5 x 527 x 1 = 124983320
Therefore, the lowest common multiple of 392,605,527,847 is 124983320.
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.
392 x 605 x 527 x 847 = 105860872040
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
605 : 1, 5, 11, 55, 121, 605
527 : 1, 17, 31, 527
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,605,527,847, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
605:5x 11x 11
527:17x 31
847:7x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11x 11 = 847
Therefore, the value for common factors is 847.
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 = 105860872040/(1x847)
LCM = 105860872040/847
LCM = 124983320
Thus, we can understand that the LCM of 392,605,527,847 is 124983320.
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FAQs on LCM of 392, 605, 527, 847
1. What is the LCM of 392, 605, 527, 847?
Answer: LCM of 392, 605, 527, 847 is 124983320.
2. How to calculate the LCM of 392, 605, 527, 847?
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 392, 605, 527, 847.
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}.