LCM of 770, 814, 410, 909, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 814, 410, 909, 822 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, 814, 410, 909, 822. So, keep reading to learn more.
Given numbers are 770,814,410,909,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,814,410,909,822 is 145465751970.
Find LCM of 770,814,410,909,822 with Prime Factorization
| 2 | 770, 814, 410, 909, 822 |
| 3 | 385, 407, 205, 909, 411 |
| 5 | 385, 407, 205, 303, 137 |
| 11 | 77, 407, 41, 303, 137 |
| 7, 37, 41, 303, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 7 x 37 x 41 x 303 x 137 = 145465751970
Therefore, the lowest common multiple of 770,814,410,909,822 is 145465751970.
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 814 x 410 x 909 x 822 = 192014792600400
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
814 : 1, 2, 11, 22, 37, 74, 407, 814
410 : 1, 2, 5, 10, 41, 82, 205, 410
909 : 1, 3, 9, 101, 303, 909
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,814,410,909,822, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
814:2x 11x 37
410:2x 5x 41
909:3x 3x 101
822:2x 3x 137
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 3x 5x 11 = 1320
Therefore, the value for common factors is 1320.
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 = 192014792600400/(1x1320)
LCM = 192014792600400/1320
LCM = 145465751970
Thus, we can understand that the LCM of 770,814,410,909,822 is 145465751970.
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FAQs on LCM of 770, 814, 410, 909, 822
1. What is the LCM of 770, 814, 410, 909, 822?
Answer: LCM of 770, 814, 410, 909, 822 is 145465751970.
2. How to calculate the LCM of 770, 814, 410, 909, 822?
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, 814, 410, 909, 822.
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}.