LCM of 564, 964, 705, 908
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 964, 705, 908 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 564, 964, 705, 908. So, keep reading to learn more.
Given numbers are 564,964,705,908
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,964,705,908 is 154273740.
Find LCM of 564,964,705,908 with Prime Factorization
| 2 | 564, 964, 705, 908 |
| 2 | 282, 482, 705, 454 |
| 3 | 141, 241, 705, 227 |
| 47 | 47, 241, 235, 227 |
| 1, 241, 5, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 1 x 241 x 5 x 227 = 154273740
Therefore, the lowest common multiple of 564,964,705,908 is 154273740.
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.
564 x 964 x 705 x 908 = 348041557440
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
964 : 1, 2, 4, 241, 482, 964
705 : 1, 3, 5, 15, 47, 141, 235, 705
908 : 1, 2, 4, 227, 454, 908
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,964,705,908, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
964:2x 2x 241
705:3x 5x 47
908:2x 2x 227
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 2x 2x 3x 47 = 2256
Therefore, the value for common factors is 2256.
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 = 348041557440/(1x2256)
LCM = 348041557440/2256
LCM = 154273740
Thus, we can understand that the LCM of 564,964,705,908 is 154273740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 564, 964, 705, 908
1. What is the LCM of 564, 964, 705, 908?
Answer: LCM of 564, 964, 705, 908 is 154273740.
2. How to calculate the LCM of 564, 964, 705, 908?
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 564, 964, 705, 908.
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}.