LCM of 770, 526, 420, 827, 409
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 526, 420, 827, 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 770, 526, 420, 827, 409. So, keep reading to learn more.
Given numbers are 770,526,420,827,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,526,420,827,409 is 410985539580.
Find LCM of 770,526,420,827,409 with Prime Factorization
| 2 | 770, 526, 420, 827, 409 |
| 5 | 385, 263, 210, 827, 409 |
| 7 | 77, 263, 42, 827, 409 |
| 11, 263, 6, 827, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 263 x 6 x 827 x 409 = 410985539580
Therefore, the lowest common multiple of 770,526,420,827,409 is 410985539580.
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.
770 x 526 x 420 x 827 x 409 = 57537975541200
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
526 : 1, 2, 263, 526
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
827 : 1, 827
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,526,420,827,409, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
526:2x 263
420:2x 2x 3x 5x 7
827:827
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 5x 7 = 140
Therefore, the value for common factors is 140.
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 = 57537975541200/(1x140)
LCM = 57537975541200/140
LCM = 410985539580
Thus, we can understand that the LCM of 770,526,420,827,409 is 410985539580.
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FAQs on LCM of 770, 526, 420, 827, 409
1. What is the LCM of 770, 526, 420, 827, 409?
Answer: LCM of 770, 526, 420, 827, 409 is 410985539580.
2. How to calculate the LCM of 770, 526, 420, 827, 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 770, 526, 420, 827, 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}.