LCM of 392, 663, 434, 759, 527
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 392, 663, 434, 759, 527 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, 663, 434, 759, 527. So, keep reading to learn more.
Given numbers are 392,663,434,759,527
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,663,434,759,527 is 2038364328.
Find LCM of 392,663,434,759,527 with Prime Factorization
| 2 | 392, 663, 434, 759, 527 |
| 3 | 196, 663, 217, 759, 527 |
| 7 | 196, 221, 217, 253, 527 |
| 17 | 28, 221, 31, 253, 527 |
| 31 | 28, 13, 31, 253, 31 |
| 28, 13, 1, 253, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 31 x 28 x 13 x 1 x 253 x 1 = 2038364328
Therefore, the lowest common multiple of 392,663,434,759,527 is 2038364328.
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 663 x 434 x 759 x 527 = 45117156035952
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
663 : 1, 3, 13, 17, 39, 51, 221, 663
434 : 1, 2, 7, 14, 31, 62, 217, 434
759 : 1, 3, 11, 23, 33, 69, 253, 759
527 : 1, 17, 31, 527
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,663,434,759,527, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
663:3x 13x 17
434:2x 7x 31
759:3x 11x 23
527:17x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 17x 31 = 22134
Therefore, the value for common factors is 22134.
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 = 45117156035952/(1x22134)
LCM = 45117156035952/22134
LCM = 2038364328
Thus, we can understand that the LCM of 392,663,434,759,527 is 2038364328.
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FAQs on LCM of 392, 663, 434, 759, 527
1. What is the LCM of 392, 663, 434, 759, 527?
Answer: LCM of 392, 663, 434, 759, 527 is 2038364328.
2. How to calculate the LCM of 392, 663, 434, 759, 527?
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, 663, 434, 759, 527.
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}.