LCM of 390, 460, 956, 520, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 460, 956, 520, 657 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 390, 460, 956, 520, 657. So, keep reading to learn more.
Given numbers are 390,460,956,520,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,460,956,520,657 is 1877995080.
Find LCM of 390,460,956,520,657 with Prime Factorization
| 2 | 390, 460, 956, 520, 657 |
| 2 | 195, 230, 478, 260, 657 |
| 3 | 195, 115, 239, 130, 657 |
| 5 | 65, 115, 239, 130, 219 |
| 13 | 13, 23, 239, 26, 219 |
| 1, 23, 239, 2, 219 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 1 x 23 x 239 x 2 x 219 = 1877995080
Therefore, the lowest common multiple of 390,460,956,520,657 is 1877995080.
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.
390 x 460 x 956 x 520 x 657 = 58593446496000
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
956 : 1, 2, 4, 239, 478, 956
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,460,956,520,657, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
460:2x 2x 5x 23
956:2x 2x 239
520:2x 2x 2x 5x 13
657:3x 3x 73
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 3x 5x 5x 13 = 31200
Therefore, the value for common factors is 31200.
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 = 58593446496000/(1x31200)
LCM = 58593446496000/31200
LCM = 1877995080
Thus, we can understand that the LCM of 390,460,956,520,657 is 1877995080.
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FAQs on LCM of 390, 460, 956, 520, 657
1. What is the LCM of 390, 460, 956, 520, 657?
Answer: LCM of 390, 460, 956, 520, 657 is 1877995080.
2. How to calculate the LCM of 390, 460, 956, 520, 657?
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 390, 460, 956, 520, 657.
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}.