LCM of 287, 952, 802, 658, 556
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 952, 802, 658, 556 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 287, 952, 802, 658, 556. So, keep reading to learn more.
Given numbers are 287,952,802,658,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,952,802,658,556 is 102253418456.
Find LCM of 287,952,802,658,556 with Prime Factorization
| 2 | 287, 952, 802, 658, 556 |
| 2 | 287, 476, 401, 329, 278 |
| 7 | 287, 238, 401, 329, 139 |
| 41, 34, 401, 47, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 41 x 34 x 401 x 47 x 139 = 102253418456
Therefore, the lowest common multiple of 287,952,802,658,556 is 102253418456.
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.
287 x 952 x 802 x 658 x 556 = 80166680069504
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.
287 : 1, 7, 41, 287
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
802 : 1, 2, 401, 802
658 : 1, 2, 7, 14, 47, 94, 329, 658
556 : 1, 2, 4, 139, 278, 556
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,952,802,658,556, is 1.
Now, the common factors can be found like this.
287:7x 41
952:2x 2x 2x 7x 17
802:2x 401
658:2x 7x 47
556:2x 2x 139
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 7x 7 = 784
Therefore, the value for common factors is 784.
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 = 80166680069504/(1x784)
LCM = 80166680069504/784
LCM = 102253418456
Thus, we can understand that the LCM of 287,952,802,658,556 is 102253418456.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 287, 952, 802, 658, 556
1. What is the LCM of 287, 952, 802, 658, 556?
Answer: LCM of 287, 952, 802, 658, 556 is 102253418456.
2. How to calculate the LCM of 287, 952, 802, 658, 556?
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 287, 952, 802, 658, 556.
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}.