LCM of 867, 404, 533, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 404, 533, 639 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 867, 404, 533, 639. So, keep reading to learn more.
Given numbers are 867,404,533,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,404,533,639 is 39765575772.
Find LCM of 867,404,533,639 with Prime Factorization
| 3 | 867, 404, 533, 639 |
| 289, 404, 533, 213 |
Multiply the prime numbers at the bottom and the left side.
3 x 289 x 404 x 533 x 213 = 39765575772
Therefore, the lowest common multiple of 867,404,533,639 is 39765575772.
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.
867 x 404 x 533 x 639 = 119296727316
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.
867 : 1, 3, 17, 51, 289, 867
404 : 1, 2, 4, 101, 202, 404
533 : 1, 13, 41, 533
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,404,533,639, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
404:2x 2x 101
533:13x 41
639:3x 3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 119296727316/(1x3)
LCM = 119296727316/3
LCM = 39765575772
Thus, we can understand that the LCM of 867,404,533,639 is 39765575772.
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FAQs on LCM of 867, 404, 533, 639
1. What is the LCM of 867, 404, 533, 639?
Answer: LCM of 867, 404, 533, 639 is 39765575772.
2. How to calculate the LCM of 867, 404, 533, 639?
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 867, 404, 533, 639.
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}.