LCM of 644, 237, 328, 615, 848
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 644, 237, 328, 615, 848 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 644, 237, 328, 615, 848. So, keep reading to learn more.
Given numbers are 644,237,328,615,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 644,237,328,615,848 is 6633212880.
Find LCM of 644,237,328,615,848 with Prime Factorization
| 2 | 644, 237, 328, 615, 848 |
| 2 | 322, 237, 164, 615, 424 |
| 2 | 161, 237, 82, 615, 212 |
| 3 | 161, 237, 41, 615, 106 |
| 41 | 161, 79, 41, 205, 106 |
| 161, 79, 1, 5, 106 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 161 x 79 x 1 x 5 x 106 = 6633212880
Therefore, the lowest common multiple of 644,237,328,615,848 is 6633212880.
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.
644 x 237 x 328 x 615 x 848 = 26108325895680
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.
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
237 : 1, 3, 79, 237
328 : 1, 2, 4, 8, 41, 82, 164, 328
615 : 1, 3, 5, 15, 41, 123, 205, 615
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,237,328,615,848, is 1.
Now, the common factors can be found like this.
644:2x 2x 7x 23
237:3x 79
328:2x 2x 2x 41
615:3x 5x 41
848:2x 2x 2x 2x 53
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 2x 3x 41 = 3936
Therefore, the value for common factors is 3936.
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 = 26108325895680/(1x3936)
LCM = 26108325895680/3936
LCM = 6633212880
Thus, we can understand that the LCM of 644,237,328,615,848 is 6633212880.
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FAQs on LCM of 644, 237, 328, 615, 848
1. What is the LCM of 644, 237, 328, 615, 848?
Answer: LCM of 644, 237, 328, 615, 848 is 6633212880.
2. How to calculate the LCM of 644, 237, 328, 615, 848?
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 644, 237, 328, 615, 848.
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}.