LCM of 772, 902, 210, 380, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 902, 210, 380, 406 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 772, 902, 210, 380, 406. So, keep reading to learn more.
Given numbers are 772,902,210,380,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,902,210,380,406 is 20143491060.
Find LCM of 772,902,210,380,406 with Prime Factorization
| 2 | 772, 902, 210, 380, 406 |
| 2 | 386, 451, 105, 190, 203 |
| 5 | 193, 451, 105, 95, 203 |
| 7 | 193, 451, 21, 19, 203 |
| 193, 451, 3, 19, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 193 x 451 x 3 x 19 x 29 = 20143491060
Therefore, the lowest common multiple of 772,902,210,380,406 is 20143491060.
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.
772 x 902 x 210 x 380 x 406 = 22560709987200
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.
772 : 1, 2, 4, 193, 386, 772
902 : 1, 2, 11, 22, 41, 82, 451, 902
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
406 : 1, 2, 7, 14, 29, 58, 203, 406
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,902,210,380,406, is 2.
Now, the common factors can be found like this.
772:2x 2x 193
902:2x 11x 41
210:2x 3x 5x 7
380:2x 2x 5x 19
406:2x 7x 29
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 5x 7 = 560
Therefore, the value for common factors is 560.
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 = 22560709987200/(2x560)
LCM = 22560709987200/1120
LCM = 20143491060
Thus, we can understand that the LCM of 772,902,210,380,406 is 20143491060.
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FAQs on LCM of 772, 902, 210, 380, 406
1. What is the LCM of 772, 902, 210, 380, 406?
Answer: LCM of 772, 902, 210, 380, 406 is 20143491060.
2. How to calculate the LCM of 772, 902, 210, 380, 406?
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 772, 902, 210, 380, 406.
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}.