LCM of 620, 715, 638, 981, 520
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 715, 638, 981, 520 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 620, 715, 638, 981, 520. So, keep reading to learn more.
Given numbers are 620,715,638,981,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,715,638,981,520 is 5044576680.
Find LCM of 620,715,638,981,520 with Prime Factorization
| 2 | 620, 715, 638, 981, 520 |
| 2 | 310, 715, 319, 981, 260 |
| 5 | 155, 715, 319, 981, 130 |
| 11 | 31, 143, 319, 981, 26 |
| 13 | 31, 13, 29, 981, 26 |
| 31, 1, 29, 981, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 13 x 31 x 1 x 29 x 981 x 2 = 5044576680
Therefore, the lowest common multiple of 620,715,638,981,520 is 5044576680.
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.
620 x 715 x 638 x 981 x 520 = 144274893048000
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
715 : 1, 5, 11, 13, 55, 65, 143, 715
638 : 1, 2, 11, 22, 29, 58, 319, 638
981 : 1, 3, 9, 109, 327, 981
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,715,638,981,520, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
715:5x 11x 13
638:2x 11x 29
981:3x 3x 109
520:2x 2x 2x 5x 13
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 5x 5x 11x 13 = 28600
Therefore, the value for common factors is 28600.
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 = 144274893048000/(1x28600)
LCM = 144274893048000/28600
LCM = 5044576680
Thus, we can understand that the LCM of 620,715,638,981,520 is 5044576680.
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FAQs on LCM of 620, 715, 638, 981, 520
1. What is the LCM of 620, 715, 638, 981, 520?
Answer: LCM of 620, 715, 638, 981, 520 is 5044576680.
2. How to calculate the LCM of 620, 715, 638, 981, 520?
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 620, 715, 638, 981, 520.
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}.