LCM of 454, 363, 266, 759, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 454, 363, 266, 759, 110 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 454, 363, 266, 759, 110. So, keep reading to learn more.
Given numbers are 454,363,266,759,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,363,266,759,110 is 2520646590.
Find LCM of 454,363,266,759,110 with Prime Factorization
| 2 | 454, 363, 266, 759, 110 |
| 3 | 227, 363, 133, 759, 55 |
| 11 | 227, 121, 133, 253, 55 |
| 227, 11, 133, 23, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 227 x 11 x 133 x 23 x 5 = 2520646590
Therefore, the lowest common multiple of 454,363,266,759,110 is 2520646590.
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.
454 x 363 x 266 x 759 x 110 = 3659978848680
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.
454 : 1, 2, 227, 454
363 : 1, 3, 11, 33, 121, 363
266 : 1, 2, 7, 14, 19, 38, 133, 266
759 : 1, 3, 11, 23, 33, 69, 253, 759
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,363,266,759,110, is 1.
Now, the common factors can be found like this.
454:2x 227
363:3x 11x 11
266:2x 7x 19
759:3x 11x 23
110:2x 5x 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 3x 11x 11 = 1452
Therefore, the value for common factors is 1452.
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 = 3659978848680/(1x1452)
LCM = 3659978848680/1452
LCM = 2520646590
Thus, we can understand that the LCM of 454,363,266,759,110 is 2520646590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 454, 363, 266, 759, 110
1. What is the LCM of 454, 363, 266, 759, 110?
Answer: LCM of 454, 363, 266, 759, 110 is 2520646590.
2. How to calculate the LCM of 454, 363, 266, 759, 110?
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 454, 363, 266, 759, 110.
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}.