LCM of 971, 580, 528, 410, 409
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 971, 580, 528, 410, 409 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 971, 580, 528, 410, 409. So, keep reading to learn more.
Given numbers are 971,580,528,410,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,580,528,410,409 is 1246603435440.
Find LCM of 971,580,528,410,409 with Prime Factorization
| 2 | 971, 580, 528, 410, 409 |
| 2 | 971, 290, 264, 205, 409 |
| 5 | 971, 145, 132, 205, 409 |
| 971, 29, 132, 41, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 971 x 29 x 132 x 41 x 409 = 1246603435440
Therefore, the lowest common multiple of 971,580,528,410,409 is 1246603435440.
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.
971 x 580 x 528 x 410 x 409 = 49864137417600
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.
971 : 1, 971
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
410 : 1, 2, 5, 10, 41, 82, 205, 410
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,580,528,410,409, is 1.
Now, the common factors can be found like this.
971:971
580:2x 2x 5x 29
528:2x 2x 2x 2x 3x 11
410:2x 5x 41
409:409
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 5 = 40
Therefore, the value for common factors is 40.
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 = 49864137417600/(1x40)
LCM = 49864137417600/40
LCM = 1246603435440
Thus, we can understand that the LCM of 971,580,528,410,409 is 1246603435440.
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FAQs on LCM of 971, 580, 528, 410, 409
1. What is the LCM of 971, 580, 528, 410, 409?
Answer: LCM of 971, 580, 528, 410, 409 is 1246603435440.
2. How to calculate the LCM of 971, 580, 528, 410, 409?
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 971, 580, 528, 410, 409.
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}.