LCM of 906, 345, 209, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 345, 209, 690 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, 345, 209, 690. So, keep reading to learn more.
Given numbers are 906,345,209,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,345,209,690 is 21775710.
Find LCM of 906,345,209,690 with Prime Factorization
| 2 | 906, 345, 209, 690 |
| 3 | 453, 345, 209, 345 |
| 5 | 151, 115, 209, 115 |
| 23 | 151, 23, 209, 23 |
| 151, 1, 209, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 151 x 1 x 209 x 1 = 21775710
Therefore, the lowest common multiple of 906,345,209,690 is 21775710.
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 345 x 209 x 690 = 45075719700
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
345 : 1, 3, 5, 15, 23, 69, 115, 345
209 : 1, 11, 19, 209
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,345,209,690, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
345:3x 5x 23
209:11x 19
690:2x 3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 23 = 2070
Therefore, the value for common factors is 2070.
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 = 45075719700/(1x2070)
LCM = 45075719700/2070
LCM = 21775710
Thus, we can understand that the LCM of 906,345,209,690 is 21775710.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 345, 209, 690
1. What is the LCM of 906, 345, 209, 690?
Answer: LCM of 906, 345, 209, 690 is 21775710.
2. How to calculate the LCM of 906, 345, 209, 690?
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, 345, 209, 690.
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}.