LCM of 561, 377, 255, 858, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 377, 255, 858, 132 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 561, 377, 255, 858, 132. So, keep reading to learn more.
Given numbers are 561,377,255,858,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,377,255,858,132 is 4229940.
Find LCM of 561,377,255,858,132 with Prime Factorization
| 2 | 561, 377, 255, 858, 132 |
| 3 | 561, 377, 255, 429, 66 |
| 11 | 187, 377, 85, 143, 22 |
| 13 | 17, 377, 85, 13, 2 |
| 17 | 17, 29, 85, 1, 2 |
| 1, 29, 5, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 17 x 1 x 29 x 5 x 1 x 2 = 4229940
Therefore, the lowest common multiple of 561,377,255,858,132 is 4229940.
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.
561 x 377 x 255 x 858 x 132 = 6108092579160
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
377 : 1, 13, 29, 377
255 : 1, 3, 5, 15, 17, 51, 85, 255
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,377,255,858,132, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
377:13x 29
255:3x 5x 17
858:2x 3x 11x 13
132:2x 2x 3x 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 3x 3x 3x 11x 11x 13x 17 = 1444014
Therefore, the value for common factors is 1444014.
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 = 6108092579160/(1x1444014)
LCM = 6108092579160/1444014
LCM = 4229940
Thus, we can understand that the LCM of 561,377,255,858,132 is 4229940.
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FAQs on LCM of 561, 377, 255, 858, 132
1. What is the LCM of 561, 377, 255, 858, 132?
Answer: LCM of 561, 377, 255, 858, 132 is 4229940.
2. How to calculate the LCM of 561, 377, 255, 858, 132?
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 561, 377, 255, 858, 132.
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}.