LCM of 442, 617, 595, 105, 929
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 617, 595, 105, 929 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 442, 617, 595, 105, 929. So, keep reading to learn more.
Given numbers are 442,617,595,105,929
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,617,595,105,929 is 26601887130.
Find LCM of 442,617,595,105,929 with Prime Factorization
| 5 | 442, 617, 595, 105, 929 |
| 7 | 442, 617, 119, 21, 929 |
| 17 | 442, 617, 17, 3, 929 |
| 26, 617, 1, 3, 929 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 17 x 26 x 617 x 1 x 3 x 929 = 26601887130
Therefore, the lowest common multiple of 442,617,595,105,929 is 26601887130.
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.
442 x 617 x 595 x 105 x 929 = 15828122842350
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
617 : 1, 617
595 : 1, 5, 7, 17, 35, 85, 119, 595
105 : 1, 3, 5, 7, 15, 21, 35, 105
929 : 1, 929
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,617,595,105,929, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
617:617
595:5x 7x 17
105:3x 5x 7
929:929
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 17 = 595
Therefore, the value for common factors is 595.
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 = 15828122842350/(1x595)
LCM = 15828122842350/595
LCM = 26601887130
Thus, we can understand that the LCM of 442,617,595,105,929 is 26601887130.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 442, 617, 595, 105, 929
1. What is the LCM of 442, 617, 595, 105, 929?
Answer: LCM of 442, 617, 595, 105, 929 is 26601887130.
2. How to calculate the LCM of 442, 617, 595, 105, 929?
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 442, 617, 595, 105, 929.
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}.