LCM of 506, 338, 161, 105, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 506, 338, 161, 105, 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 506, 338, 161, 105, 741. So, keep reading to learn more.
Given numbers are 506,338,161,105,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,338,161,105,741 is 170600430.
Find LCM of 506,338,161,105,741 with Prime Factorization
| 2 | 506, 338, 161, 105, 741 |
| 3 | 253, 169, 161, 105, 741 |
| 7 | 253, 169, 161, 35, 247 |
| 13 | 253, 169, 23, 5, 247 |
| 23 | 253, 13, 23, 5, 19 |
| 11, 13, 1, 5, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 23 x 11 x 13 x 1 x 5 x 19 = 170600430
Therefore, the lowest common multiple of 506,338,161,105,741 is 170600430.
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.
506 x 338 x 161 x 105 x 741 = 2142400199940
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.
506 : 1, 2, 11, 22, 23, 46, 253, 506
338 : 1, 2, 13, 26, 169, 338
161 : 1, 7, 23, 161
105 : 1, 3, 5, 7, 15, 21, 35, 105
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 506,338,161,105,741, is 1.
Now, the common factors can be found like this.
506:2x 11x 23
338:2x 13x 13
161:7x 23
105:3x 5x 7
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 3x 7x 13x 23 = 12558
Therefore, the value for common factors is 12558.
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 = 2142400199940/(1x12558)
LCM = 2142400199940/12558
LCM = 170600430
Thus, we can understand that the LCM of 506,338,161,105,741 is 170600430.
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FAQs on LCM of 506, 338, 161, 105, 741
1. What is the LCM of 506, 338, 161, 105, 741?
Answer: LCM of 506, 338, 161, 105, 741 is 170600430.
2. How to calculate the LCM of 506, 338, 161, 105, 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 506, 338, 161, 105, 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}.