LCM of 332, 247, 870, 561, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 332, 247, 870, 561, 928 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 332, 247, 870, 561, 928. So, keep reading to learn more.
Given numbers are 332,247,870,561,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,247,870,561,928 is 53364923040.
Find LCM of 332,247,870,561,928 with Prime Factorization
| 2 | 332, 247, 870, 561, 928 |
| 2 | 166, 247, 435, 561, 464 |
| 3 | 83, 247, 435, 561, 232 |
| 29 | 83, 247, 145, 187, 232 |
| 83, 247, 5, 187, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 83 x 247 x 5 x 187 x 8 = 53364923040
Therefore, the lowest common multiple of 332,247,870,561,928 is 53364923040.
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.
332 x 247 x 870 x 561 x 928 = 37141986435840
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.
332 : 1, 2, 4, 83, 166, 332
247 : 1, 13, 19, 247
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
561 : 1, 3, 11, 17, 33, 51, 187, 561
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,247,870,561,928, is 1.
Now, the common factors can be found like this.
332:2x 2x 83
247:13x 19
870:2x 3x 5x 29
561:3x 11x 17
928:2x 2x 2x 2x 2x 29
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 3x 29 = 696
Therefore, the value for common factors is 696.
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 = 37141986435840/(1x696)
LCM = 37141986435840/696
LCM = 53364923040
Thus, we can understand that the LCM of 332,247,870,561,928 is 53364923040.
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FAQs on LCM of 332, 247, 870, 561, 928
1. What is the LCM of 332, 247, 870, 561, 928?
Answer: LCM of 332, 247, 870, 561, 928 is 53364923040.
2. How to calculate the LCM of 332, 247, 870, 561, 928?
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 332, 247, 870, 561, 928.
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}.