LCM of 770, 453, 315, 900, 351
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 453, 315, 900, 351 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, 453, 315, 900, 351. So, keep reading to learn more.
Given numbers are 770,453,315,900,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,453,315,900,351 is 408107700.
Find LCM of 770,453,315,900,351 with Prime Factorization
| 2 | 770, 453, 315, 900, 351 |
| 3 | 385, 453, 315, 450, 351 |
| 3 | 385, 151, 105, 150, 117 |
| 5 | 385, 151, 35, 50, 39 |
| 7 | 77, 151, 7, 10, 39 |
| 11, 151, 1, 10, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 11 x 151 x 1 x 10 x 39 = 408107700
Therefore, the lowest common multiple of 770,453,315,900,351 is 408107700.
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 453 x 315 x 900 x 351 = 34709559885000
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
453 : 1, 3, 151, 453
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,453,315,900,351, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
453:3x 151
315:3x 3x 5x 7
900:2x 2x 3x 3x 5x 5
351:3x 3x 3x 13
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 3x 3x 3x 5x 5x 7 = 85050
Therefore, the value for common factors is 85050.
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 = 34709559885000/(1x85050)
LCM = 34709559885000/85050
LCM = 408107700
Thus, we can understand that the LCM of 770,453,315,900,351 is 408107700.
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FAQs on LCM of 770, 453, 315, 900, 351
1. What is the LCM of 770, 453, 315, 900, 351?
Answer: LCM of 770, 453, 315, 900, 351 is 408107700.
2. How to calculate the LCM of 770, 453, 315, 900, 351?
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, 453, 315, 900, 351.
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}.