Find the LCM of 817, 535, 344, 159 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 817, 535, 344, 159. So, keep reading to learn more.
Given numbers are 817,535,344,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 817,535,344,159 is 555984840.
Find LCM of 817,535,344,159 with Prime Factorization
43 | 817, 535, 344, 159 |
19, 535, 8, 159 |
Multiply the prime numbers at the bottom and the left side.
43 x 19 x 535 x 8 x 159 = 555984840
Therefore, the lowest common multiple of 817,535,344,159 is 555984840.
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.
817 x 535 x 344 x 159 = 23907348120
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.
817 : 1, 19, 43, 817
535 : 1, 5, 107, 535
344 : 1, 2, 4, 8, 43, 86, 172, 344
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,535,344,159, is 1.
Now, the common factors can be found like this.
817:19x 43
535:5x 107
344:2x 2x 2x 43
159:3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
43 = 43
Therefore, the value for common factors is 43.
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 = 23907348120/(1x43)
LCM = 23907348120/43
LCM = 555984840
Thus, we can understand that the LCM of 817,535,344,159 is 555984840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 817, 535, 344, 159?
Answer: LCM of 817, 535, 344, 159 is 555984840.
2. How to calculate the LCM of 817, 535, 344, 159?
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 817, 535, 344, 159.
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}.