LCM of 560, 338, 506, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 338, 506, 154 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 560, 338, 506, 154. So, keep reading to learn more.
Given numbers are 560,338,506,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,338,506,154 is 23943920.
Find LCM of 560,338,506,154 with Prime Factorization
| 2 | 560, 338, 506, 154 |
| 7 | 280, 169, 253, 77 |
| 11 | 40, 169, 253, 11 |
| 40, 169, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 40 x 169 x 23 x 1 = 23943920
Therefore, the lowest common multiple of 560,338,506,154 is 23943920.
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.
560 x 338 x 506 x 154 = 14749454720
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.
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
338 : 1, 2, 13, 26, 169, 338
506 : 1, 2, 11, 22, 23, 46, 253, 506
154 : 1, 2, 7, 11, 14, 22, 77, 154
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,338,506,154, is 2.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
338:2x 13x 13
506:2x 11x 23
154:2x 7x 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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 14749454720/(2x308)
LCM = 14749454720/616
LCM = 23943920
Thus, we can understand that the LCM of 560,338,506,154 is 23943920.
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FAQs on LCM of 560, 338, 506, 154
1. What is the LCM of 560, 338, 506, 154?
Answer: LCM of 560, 338, 506, 154 is 23943920.
2. How to calculate the LCM of 560, 338, 506, 154?
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 560, 338, 506, 154.
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}.