LCM of 859, 109, 554, 494, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 859, 109, 554, 494, 741 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 859, 109, 554, 494, 741. So, keep reading to learn more.
Given numbers are 859,109,554,494,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 859,109,554,494,741 is 38436836334.
Find LCM of 859,109,554,494,741 with Prime Factorization
| 2 | 859, 109, 554, 494, 741 |
| 13 | 859, 109, 277, 247, 741 |
| 19 | 859, 109, 277, 19, 57 |
| 859, 109, 277, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 859 x 109 x 277 x 1 x 3 = 38436836334
Therefore, the lowest common multiple of 859,109,554,494,741 is 38436836334.
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.
859 x 109 x 554 x 494 x 741 = 18987797148996
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.
859 : 1, 859
109 : 1, 109
554 : 1, 2, 277, 554
494 : 1, 2, 13, 19, 26, 38, 247, 494
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,109,554,494,741, is 1.
Now, the common factors can be found like this.
859:859
109:109
554:2x 277
494:2x 13x 19
741:3x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 19 = 494
Therefore, the value for common factors is 494.
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 = 18987797148996/(1x494)
LCM = 18987797148996/494
LCM = 38436836334
Thus, we can understand that the LCM of 859,109,554,494,741 is 38436836334.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 859, 109, 554, 494, 741
1. What is the LCM of 859, 109, 554, 494, 741?
Answer: LCM of 859, 109, 554, 494, 741 is 38436836334.
2. How to calculate the LCM of 859, 109, 554, 494, 741?
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 859, 109, 554, 494, 741.
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}.