LCM of 205, 330, 151, 958, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 205, 330, 151, 958, 770 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 205, 330, 151, 958, 770. So, keep reading to learn more.
Given numbers are 205,330,151,958,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,330,151,958,770 is 6850279590.
Find LCM of 205,330,151,958,770 with Prime Factorization
| 2 | 205, 330, 151, 958, 770 |
| 5 | 205, 165, 151, 479, 385 |
| 11 | 41, 33, 151, 479, 77 |
| 41, 3, 151, 479, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 41 x 3 x 151 x 479 x 7 = 6850279590
Therefore, the lowest common multiple of 205,330,151,958,770 is 6850279590.
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.
205 x 330 x 151 x 958 x 770 = 7535307549000
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.
205 : 1, 5, 41, 205
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
151 : 1, 151
958 : 1, 2, 479, 958
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,330,151,958,770, is 1.
Now, the common factors can be found like this.
205:5x 41
330:2x 3x 5x 11
151:151
958:2x 479
770:2x 5x 7x 11
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 5x 5x 11 = 1100
Therefore, the value for common factors is 1100.
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 = 7535307549000/(1x1100)
LCM = 7535307549000/1100
LCM = 6850279590
Thus, we can understand that the LCM of 205,330,151,958,770 is 6850279590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 205, 330, 151, 958, 770
1. What is the LCM of 205, 330, 151, 958, 770?
Answer: LCM of 205, 330, 151, 958, 770 is 6850279590.
2. How to calculate the LCM of 205, 330, 151, 958, 770?
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 205, 330, 151, 958, 770.
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}.