LCM of 906, 222, 606, 812, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 222, 606, 812, 380 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 906, 222, 606, 812, 380. So, keep reading to learn more.
Given numbers are 906,222,606,812,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,222,606,812,380 is 130587297540.
Find LCM of 906,222,606,812,380 with Prime Factorization
| 2 | 906, 222, 606, 812, 380 |
| 2 | 453, 111, 303, 406, 190 |
| 3 | 453, 111, 303, 203, 95 |
| 151, 37, 101, 203, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 151 x 37 x 101 x 203 x 95 = 130587297540
Therefore, the lowest common multiple of 906,222,606,812,380 is 130587297540.
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.
906 x 222 x 606 x 812 x 380 = 37609141691520
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
222 : 1, 2, 3, 6, 37, 74, 111, 222
606 : 1, 2, 3, 6, 101, 202, 303, 606
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,222,606,812,380, is 2.
Now, the common factors can be found like this.
906:2x 3x 151
222:2x 3x 37
606:2x 3x 101
812:2x 2x 7x 29
380:2x 2x 5x 19
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 37609141691520/(2x144)
LCM = 37609141691520/288
LCM = 130587297540
Thus, we can understand that the LCM of 906,222,606,812,380 is 130587297540.
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FAQs on LCM of 906, 222, 606, 812, 380
1. What is the LCM of 906, 222, 606, 812, 380?
Answer: LCM of 906, 222, 606, 812, 380 is 130587297540.
2. How to calculate the LCM of 906, 222, 606, 812, 380?
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 906, 222, 606, 812, 380.
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}.